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Finding the Fourth Proportional to 100,047.60, 149,869.80 and 62,492.40

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Solution

The fourth proportional to 100,047.60, 149,869.80 and 62,492.40 is: 93,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,047.60 : 149,869.80 = 62,492.40 : x
  2. Step 2: Convert to fraction form
    100,047.60/149,869.80 = 62,492.40/x
  3. Step 3: Cross multiply
    100,047.60x = 149,869.80 × 62,492.40
  4. Step 4: Simplify right side
    100,047.60x = 9,365,723,489.52
  5. Step 5: Solve for x
    x = 9,365,723,489.52/100,047.60
  6. Step 6: Final answer
    x = 93,612.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.