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Finding the Fourth Proportional to 261,987.12, 361,522.80 and 148,788

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Solution

The fourth proportional to 261,987.12, 361,522.80 and 148,788 is: 205,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,987.12 : 361,522.80 = 148,788 : x
  2. Step 2: Convert to fraction form
    261,987.12/361,522.80 = 148,788/x
  3. Step 3: Cross multiply
    261,987.12x = 361,522.80 × 148,788
  4. Step 4: Simplify right side
    261,987.12x = 53,790,254,366.40
  5. Step 5: Solve for x
    x = 53,790,254,366.40/261,987.12
  6. Step 6: Final answer
    x = 205,316.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.