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Finding the Fourth Proportional to 154,070.24, 212,609.16 and 86,073.72

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Solution

The fourth proportional to 154,070.24, 212,609.16 and 86,073.72 is: 118,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,070.24 : 212,609.16 = 86,073.72 : x
  2. Step 2: Convert to fraction form
    154,070.24/212,609.16 = 86,073.72/x
  3. Step 3: Cross multiply
    154,070.24x = 212,609.16 × 86,073.72
  4. Step 4: Simplify right side
    154,070.24x = 18,300,061,307.28
  5. Step 5: Solve for x
    x = 18,300,061,307.28/154,070.24
  6. Step 6: Final answer
    x = 118,777.39

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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.