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Finding the Fourth Proportional to 92,142.63, 127,155.42 and 51,306.48

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Solution

The fourth proportional to 92,142.63, 127,155.42 and 51,306.48 is: 70,802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,142.63 : 127,155.42 = 51,306.48 : x
  2. Step 2: Convert to fraction form
    92,142.63/127,155.42 = 51,306.48/x
  3. Step 3: Cross multiply
    92,142.63x = 127,155.42 × 51,306.48
  4. Step 4: Simplify right side
    92,142.63x = 6,523,897,013.12
  5. Step 5: Solve for x
    x = 6,523,897,013.12/92,142.63
  6. Step 6: Final answer
    x = 70,802.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.