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Finding the Fourth Proportional to 140,695.74, 194,159.70 and 77,032.98

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Solution

The fourth proportional to 140,695.74, 194,159.70 and 77,032.98 is: 106,305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,695.74 : 194,159.70 = 77,032.98 : x
  2. Step 2: Convert to fraction form
    140,695.74/194,159.70 = 77,032.98/x
  3. Step 3: Cross multiply
    140,695.74x = 194,159.70 × 77,032.98
  4. Step 4: Simplify right side
    140,695.74x = 14,956,700,286.91
  5. Step 5: Solve for x
    x = 14,956,700,286.91/140,695.74
  6. Step 6: Final answer
    x = 106,305.28

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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.