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Finding the Fourth Proportional to 153,686.11, 212,087.76 and 85,707.38

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Solution

The fourth proportional to 153,686.11, 212,087.76 and 85,707.38 is: 118,276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,686.11 : 212,087.76 = 85,707.38 : x
  2. Step 2: Convert to fraction form
    153,686.11/212,087.76 = 85,707.38/x
  3. Step 3: Cross multiply
    153,686.11x = 212,087.76 × 85,707.38
  4. Step 4: Simplify right side
    153,686.11x = 18,177,486,239.67
  5. Step 5: Solve for x
    x = 18,177,486,239.67/153,686.11
  6. Step 6: Final answer
    x = 118,276.70

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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.