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Finding the Fourth Proportional to 127,282, 175,649.24 and 70,693.84

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Solution

The fourth proportional to 127,282, 175,649.24 and 70,693.84 is: 97,557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,282 : 175,649.24 = 70,693.84 : x
  2. Step 2: Convert to fraction form
    127,282/175,649.24 = 70,693.84/x
  3. Step 3: Cross multiply
    127,282x = 175,649.24 × 70,693.84
  4. Step 4: Simplify right side
    127,282x = 12,417,319,268.68
  5. Step 5: Solve for x
    x = 12,417,319,268.68/127,282
  6. Step 6: Final answer
    x = 97,557.54

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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.