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Finding the Fourth Proportional to 114,374.64, 171,328.56 and 58,854

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Solution

The fourth proportional to 114,374.64, 171,328.56 and 58,854 is: 88,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,374.64 : 171,328.56 = 58,854 : x
  2. Step 2: Convert to fraction form
    114,374.64/171,328.56 = 58,854/x
  3. Step 3: Cross multiply
    114,374.64x = 171,328.56 × 58,854
  4. Step 4: Simplify right side
    114,374.64x = 10,083,371,070.24
  5. Step 5: Solve for x
    x = 10,083,371,070.24/114,374.64
  6. Step 6: Final answer
    x = 88,160.90

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Why These Related Problems?

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