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Finding the Fourth Proportional to 130,284.97, 179,711.38 and 100,024.18

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Solution

The fourth proportional to 130,284.97, 179,711.38 and 100,024.18 is: 137,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,284.97 : 179,711.38 = 100,024.18 : x
  2. Step 2: Convert to fraction form
    130,284.97/179,711.38 = 100,024.18/x
  3. Step 3: Cross multiply
    130,284.97x = 179,711.38 × 100,024.18
  4. Step 4: Simplify right side
    130,284.97x = 17,975,483,421.17
  5. Step 5: Solve for x
    x = 17,975,483,421.17/130,284.97
  6. Step 6: Final answer
    x = 137,970.51

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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.