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Finding the Fourth Proportional to 260,145.30, 390,440.16 and 185,448.18

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Solution

The fourth proportional to 260,145.30, 390,440.16 and 185,448.18 is: 278,330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,145.30 : 390,440.16 = 185,448.18 : x
  2. Step 2: Convert to fraction form
    260,145.30/390,440.16 = 185,448.18/x
  3. Step 3: Cross multiply
    260,145.30x = 390,440.16 × 185,448.18
  4. Step 4: Simplify right side
    260,145.30x = 72,406,417,070.91
  5. Step 5: Solve for x
    x = 72,406,417,070.91/260,145.30
  6. Step 6: Final answer
    x = 278,330.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.