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Finding the Fourth Proportional to 102,366.48, 153,513 and 39,204.36

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Solution

The fourth proportional to 102,366.48, 153,513 and 39,204.36 is: 58,792.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,366.48 : 153,513 = 39,204.36 : x
  2. Step 2: Convert to fraction form
    102,366.48/153,513 = 39,204.36/x
  3. Step 3: Cross multiply
    102,366.48x = 153,513 × 39,204.36
  4. Step 4: Simplify right side
    102,366.48x = 6,018,378,916.68
  5. Step 5: Solve for x
    x = 6,018,378,916.68/102,366.48
  6. Step 6: Final answer
    x = 58,792.48

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