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Finding the Fourth Proportional to 147,113.96, 203,011.13 and 83,463.76

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Solution

The fourth proportional to 147,113.96, 203,011.13 and 83,463.76 is: 115,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,113.96 : 203,011.13 = 83,463.76 : x
  2. Step 2: Convert to fraction form
    147,113.96/203,011.13 = 83,463.76/x
  3. Step 3: Cross multiply
    147,113.96x = 203,011.13 × 83,463.76
  4. Step 4: Simplify right side
    147,113.96x = 16,944,071,932.78
  5. Step 5: Solve for x
    x = 16,944,071,932.78/147,113.96
  6. Step 6: Final answer
    x = 115,176.50

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1.5x scale

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.