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Finding the Fourth Proportional to 145,356.17, 200,471.18 and 102,478.23

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Solution

The fourth proportional to 145,356.17, 200,471.18 and 102,478.23 is: 141,335.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,356.17 : 200,471.18 = 102,478.23 : x
  2. Step 2: Convert to fraction form
    145,356.17/200,471.18 = 102,478.23/x
  3. Step 3: Cross multiply
    145,356.17x = 200,471.18 × 102,478.23
  4. Step 4: Simplify right side
    145,356.17x = 20,543,931,180.02
  5. Step 5: Solve for x
    x = 20,543,931,180.02/145,356.17
  6. Step 6: Final answer
    x = 141,335.12

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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.