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Finding the Fourth Proportional to 176,000.83, 242,975.12 and 137,678.81

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Solution

The fourth proportional to 176,000.83, 242,975.12 and 137,678.81 is: 190,070.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,000.83 : 242,975.12 = 137,678.81 : x
  2. Step 2: Convert to fraction form
    176,000.83/242,975.12 = 137,678.81/x
  3. Step 3: Cross multiply
    176,000.83x = 242,975.12 × 137,678.81
  4. Step 4: Simplify right side
    176,000.83x = 33,452,525,381.21
  5. Step 5: Solve for x
    x = 33,452,525,381.21/176,000.83
  6. Step 6: Final answer
    x = 190,070.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.