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Finding the Fourth Proportional to 127,024, 175,298 and 70,434.16

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Solution

The fourth proportional to 127,024, 175,298 and 70,434.16 is: 97,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,024 : 175,298 = 70,434.16 : x
  2. Step 2: Convert to fraction form
    127,024/175,298 = 70,434.16/x
  3. Step 3: Cross multiply
    127,024x = 175,298 × 70,434.16
  4. Step 4: Simplify right side
    127,024x = 12,346,967,379.68
  5. Step 5: Solve for x
    x = 12,346,967,379.68/127,024
  6. Step 6: Final answer
    x = 97,201.85

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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.