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Finding the Fourth Proportional to 153,685.86, 212,087.42 and 85,707.14

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Solution

The fourth proportional to 153,685.86, 212,087.42 and 85,707.14 is: 118,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,685.86 : 212,087.42 = 85,707.14 : x
  2. Step 2: Convert to fraction form
    153,685.86/212,087.42 = 85,707.14/x
  3. Step 3: Cross multiply
    153,685.86x = 212,087.42 × 85,707.14
  4. Step 4: Simplify right side
    153,685.86x = 18,177,404,709.21
  5. Step 5: Solve for x
    x = 18,177,404,709.21/153,685.86
  6. Step 6: Final answer
    x = 118,276.36

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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.