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Finding the Fourth Proportional to 145,172.16, 200,337.30 and 81,510.30

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Solution

The fourth proportional to 145,172.16, 200,337.30 and 81,510.30 is: 112,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,172.16 : 200,337.30 = 81,510.30 : x
  2. Step 2: Convert to fraction form
    145,172.16/200,337.30 = 81,510.30/x
  3. Step 3: Cross multiply
    145,172.16x = 200,337.30 × 81,510.30
  4. Step 4: Simplify right side
    145,172.16x = 16,329,553,424.19
  5. Step 5: Solve for x
    x = 16,329,553,424.19/145,172.16
  6. Step 6: Final answer
    x = 112,484.06

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