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Finding the Fourth Proportional to 147,830.70, 221,746.05 and 147,830.70

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Solution

The fourth proportional to 147,830.70, 221,746.05 and 147,830.70 is: 221,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,830.70 : 221,746.05 = 147,830.70 : x
  2. Step 2: Convert to fraction form
    147,830.70/221,746.05 = 147,830.70/x
  3. Step 3: Cross multiply
    147,830.70x = 221,746.05 × 147,830.70
  4. Step 4: Simplify right side
    147,830.70x = 32,780,873,793.74
  5. Step 5: Solve for x
    x = 32,780,873,793.74/147,830.70
  6. Step 6: Final answer
    x = 221,746.05

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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.