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Finding the Fourth Proportional to 153,849.72, 212,312.03 and 85,865.95

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Solution

The fourth proportional to 153,849.72, 212,312.03 and 85,865.95 is: 118,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,849.72 : 212,312.03 = 85,865.95 : x
  2. Step 2: Convert to fraction form
    153,849.72/212,312.03 = 85,865.95/x
  3. Step 3: Cross multiply
    153,849.72x = 212,312.03 × 85,865.95
  4. Step 4: Simplify right side
    153,849.72x = 18,230,374,152.38
  5. Step 5: Solve for x
    x = 18,230,374,152.38/153,849.72
  6. Step 6: Final answer
    x = 118,494.69

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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.