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Finding the Fourth Proportional to 157,168.20, 216,897.84 and 85,544.76

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Solution

The fourth proportional to 157,168.20, 216,897.84 and 85,544.76 is: 118,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,168.20 : 216,897.84 = 85,544.76 : x
  2. Step 2: Convert to fraction form
    157,168.20/216,897.84 = 85,544.76/x
  3. Step 3: Cross multiply
    157,168.20x = 216,897.84 × 85,544.76
  4. Step 4: Simplify right side
    157,168.20x = 18,554,473,667.32
  5. Step 5: Solve for x
    x = 18,554,473,667.32/157,168.20
  6. Step 6: Final answer
    x = 118,054.88

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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.