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Finding the Fourth Proportional to 152,748, 210,792.96 and 85,680

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Solution

The fourth proportional to 152,748, 210,792.96 and 85,680 is: 118,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,748 : 210,792.96 = 85,680 : x
  2. Step 2: Convert to fraction form
    152,748/210,792.96 = 85,680/x
  3. Step 3: Cross multiply
    152,748x = 210,792.96 × 85,680
  4. Step 4: Simplify right side
    152,748x = 18,060,740,812.80
  5. Step 5: Solve for x
    x = 18,060,740,812.80/152,748
  6. Step 6: Final answer
    x = 118,238.80

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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.