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Finding the Fourth Proportional to 148,482.25, 204,851.80 and 97,522.58

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Solution

The fourth proportional to 148,482.25, 204,851.80 and 97,522.58 is: 134,545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,482.25 : 204,851.80 = 97,522.58 : x
  2. Step 2: Convert to fraction form
    148,482.25/204,851.80 = 97,522.58/x
  3. Step 3: Cross multiply
    148,482.25x = 204,851.80 × 97,522.58
  4. Step 4: Simplify right side
    148,482.25x = 19,977,676,687.68
  5. Step 5: Solve for x
    x = 19,977,676,687.68/148,482.25
  6. Step 6: Final answer
    x = 134,545.89

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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.