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Finding the Fourth Proportional to 157,019.34, 216,695.55 and 85,397.93

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Solution

The fourth proportional to 157,019.34, 216,695.55 and 85,397.93 is: 117,853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,019.34 : 216,695.55 = 85,397.93 : x
  2. Step 2: Convert to fraction form
    157,019.34/216,695.55 = 85,397.93/x
  3. Step 3: Cross multiply
    157,019.34x = 216,695.55 × 85,397.93
  4. Step 4: Simplify right side
    157,019.34x = 18,505,351,410.21
  5. Step 5: Solve for x
    x = 18,505,351,410.21/157,019.34
  6. Step 6: Final answer
    x = 117,853.96

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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.