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Finding the Fourth Proportional to 175,999.83, 242,973.74 and 137,677.81

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Solution

The fourth proportional to 175,999.83, 242,973.74 and 137,677.81 is: 190,068.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,999.83 : 242,973.74 = 137,677.81 : x
  2. Step 2: Convert to fraction form
    175,999.83/242,973.74 = 137,677.81/x
  3. Step 3: Cross multiply
    175,999.83x = 242,973.74 × 137,677.81
  4. Step 4: Simplify right side
    175,999.83x = 33,452,092,410.71
  5. Step 5: Solve for x
    x = 33,452,092,410.71/175,999.83
  6. Step 6: Final answer
    x = 190,068.89

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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.