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Finding the Fourth Proportional to 136,502.90, 204,907.95 and 105,475.70

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Solution

The fourth proportional to 136,502.90, 204,907.95 and 105,475.70 is: 158,332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,502.90 : 204,907.95 = 105,475.70 : x
  2. Step 2: Convert to fraction form
    136,502.90/204,907.95 = 105,475.70/x
  3. Step 3: Cross multiply
    136,502.90x = 204,907.95 × 105,475.70
  4. Step 4: Simplify right side
    136,502.90x = 21,612,809,461.82
  5. Step 5: Solve for x
    x = 21,612,809,461.82/136,502.90
  6. Step 6: Final answer
    x = 158,332.24

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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.