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Finding the Fourth Proportional to 92,077.40, 137,894.54 and 62,405.20

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Solution

The fourth proportional to 92,077.40, 137,894.54 and 62,405.20 is: 93,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,077.40 : 137,894.54 = 62,405.20 : x
  2. Step 2: Convert to fraction form
    92,077.40/137,894.54 = 62,405.20/x
  3. Step 3: Cross multiply
    92,077.40x = 137,894.54 × 62,405.20
  4. Step 4: Simplify right side
    92,077.40x = 8,605,336,347.61
  5. Step 5: Solve for x
    x = 8,605,336,347.61/92,077.40
  6. Step 6: Final answer
    x = 93,457.64

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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.