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Finding the Fourth Proportional to 151,685.68, 209,326.08 and 83,702.64

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Solution

The fourth proportional to 151,685.68, 209,326.08 and 83,702.64 is: 115,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,685.68 : 209,326.08 = 83,702.64 : x
  2. Step 2: Convert to fraction form
    151,685.68/209,326.08 = 83,702.64/x
  3. Step 3: Cross multiply
    151,685.68x = 209,326.08 × 83,702.64
  4. Step 4: Simplify right side
    151,685.68x = 17,521,145,516.85
  5. Step 5: Solve for x
    x = 17,521,145,516.85/151,685.68
  6. Step 6: Final answer
    x = 115,509.56

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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.