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Finding the Fourth Proportional to 152,066.90, 209,848.56 and 84,082.08

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Solution

The fourth proportional to 152,066.90, 209,848.56 and 84,082.08 is: 116,031.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,066.90 : 209,848.56 = 84,082.08 : x
  2. Step 2: Convert to fraction form
    152,066.90/209,848.56 = 84,082.08/x
  3. Step 3: Cross multiply
    152,066.90x = 209,848.56 × 84,082.08
  4. Step 4: Simplify right side
    152,066.90x = 17,644,503,409.80
  5. Step 5: Solve for x
    x = 17,644,503,409.80/152,066.90
  6. Step 6: Final answer
    x = 116,031.19

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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.