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Finding the Fourth Proportional to 177,971.52, 245,597.40 and 97,397.40

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Solution

The fourth proportional to 177,971.52, 245,597.40 and 97,397.40 is: 134,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,971.52 : 245,597.40 = 97,397.40 : x
  2. Step 2: Convert to fraction form
    177,971.52/245,597.40 = 97,397.40/x
  3. Step 3: Cross multiply
    177,971.52x = 245,597.40 × 97,397.40
  4. Step 4: Simplify right side
    177,971.52x = 23,920,548,206.76
  5. Step 5: Solve for x
    x = 23,920,548,206.76/177,971.52
  6. Step 6: Final answer
    x = 134,406.61

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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.