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Finding the Fourth Proportional to 103,457, 142,790.46 and 67,585.16

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Solution

The fourth proportional to 103,457, 142,790.46 and 67,585.16 is: 93,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,457 : 142,790.46 = 67,585.16 : x
  2. Step 2: Convert to fraction form
    103,457/142,790.46 = 67,585.16/x
  3. Step 3: Cross multiply
    103,457x = 142,790.46 × 67,585.16
  4. Step 4: Simplify right side
    103,457x = 9,650,516,085.57
  5. Step 5: Solve for x
    x = 9,650,516,085.57/103,457
  6. Step 6: Final answer
    x = 93,280.46

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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.