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Finding the Fourth Proportional to 151,636.93, 209,221.34 and 99,948.30

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Solution

The fourth proportional to 151,636.93, 209,221.34 and 99,948.30 is: 137,903.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,636.93 : 209,221.34 = 99,948.30 : x
  2. Step 2: Convert to fraction form
    151,636.93/209,221.34 = 99,948.30/x
  3. Step 3: Cross multiply
    151,636.93x = 209,221.34 × 99,948.30
  4. Step 4: Simplify right side
    151,636.93x = 20,911,316,534.61
  5. Step 5: Solve for x
    x = 20,911,316,534.61/151,636.93
  6. Step 6: Final answer
    x = 137,903.85

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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.