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Finding the Fourth Proportional to 147,767.70, 221,339.55 and 97,871.70

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Solution

The fourth proportional to 147,767.70, 221,339.55 and 97,871.70 is: 146,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,767.70 : 221,339.55 = 97,871.70 : x
  2. Step 2: Convert to fraction form
    147,767.70/221,339.55 = 97,871.70/x
  3. Step 3: Cross multiply
    147,767.70x = 221,339.55 × 97,871.70
  4. Step 4: Simplify right side
    147,767.70x = 21,662,878,035.74
  5. Step 5: Solve for x
    x = 21,662,878,035.74/147,767.70
  6. Step 6: Final answer
    x = 146,600.90

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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.