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Finding the Fourth Proportional to 130,273, 195,293.66 and 47,148.52

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Solution

The fourth proportional to 130,273, 195,293.66 and 47,148.52 is: 70,680.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,273 : 195,293.66 = 47,148.52 : x
  2. Step 2: Convert to fraction form
    130,273/195,293.66 = 47,148.52/x
  3. Step 3: Cross multiply
    130,273x = 195,293.66 × 47,148.52
  4. Step 4: Simplify right side
    130,273x = 9,207,807,034.38
  5. Step 5: Solve for x
    x = 9,207,807,034.38/130,273
  6. Step 6: Final answer
    x = 70,680.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.