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Finding the Fourth Proportional to 127,034.40, 175,318.24 and 70,464

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Solution

The fourth proportional to 127,034.40, 175,318.24 and 70,464 is: 97,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,034.40 : 175,318.24 = 70,464 : x
  2. Step 2: Convert to fraction form
    127,034.40/175,318.24 = 70,464/x
  3. Step 3: Cross multiply
    127,034.40x = 175,318.24 × 70,464
  4. Step 4: Simplify right side
    127,034.40x = 12,353,624,463.36
  5. Step 5: Solve for x
    x = 12,353,624,463.36/127,034.40
  6. Step 6: Final answer
    x = 97,246.29

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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.