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Finding the Fourth Proportional to 130,951, 180,712.38 and 71,335

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Solution

The fourth proportional to 130,951, 180,712.38 and 71,335 is: 98,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,951 : 180,712.38 = 71,335 : x
  2. Step 2: Convert to fraction form
    130,951/180,712.38 = 71,335/x
  3. Step 3: Cross multiply
    130,951x = 180,712.38 × 71,335
  4. Step 4: Simplify right side
    130,951x = 12,891,117,627.30
  5. Step 5: Solve for x
    x = 12,891,117,627.30/130,951
  6. Step 6: Final answer
    x = 98,442.30

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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.