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Finding the Fourth Proportional to 176,071.50, 242,984.16 and 99,589.10

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Solution

The fourth proportional to 176,071.50, 242,984.16 and 99,589.10 is: 137,436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,071.50 : 242,984.16 = 99,589.10 : x
  2. Step 2: Convert to fraction form
    176,071.50/242,984.16 = 99,589.10/x
  3. Step 3: Cross multiply
    176,071.50x = 242,984.16 × 99,589.10
  4. Step 4: Simplify right side
    176,071.50x = 24,198,573,808.66
  5. Step 5: Solve for x
    x = 24,198,573,808.66/176,071.50
  6. Step 6: Final answer
    x = 137,436.06

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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.