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Finding the Fourth Proportional to 103,807.60, 155,711.40 and 83,071.60

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Solution

The fourth proportional to 103,807.60, 155,711.40 and 83,071.60 is: 124,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,807.60 : 155,711.40 = 83,071.60 : x
  2. Step 2: Convert to fraction form
    103,807.60/155,711.40 = 83,071.60/x
  3. Step 3: Cross multiply
    103,807.60x = 155,711.40 × 83,071.60
  4. Step 4: Simplify right side
    103,807.60x = 12,935,195,136.24
  5. Step 5: Solve for x
    x = 12,935,195,136.24/103,807.60
  6. Step 6: Final answer
    x = 124,607.40

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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.