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Finding the Fourth Proportional to 282,825.60, 390,291.52 and 153,760

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Solution

The fourth proportional to 282,825.60, 390,291.52 and 153,760 is: 212,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,825.60 : 390,291.52 = 153,760 : x
  2. Step 2: Convert to fraction form
    282,825.60/390,291.52 = 153,760/x
  3. Step 3: Cross multiply
    282,825.60x = 390,291.52 × 153,760
  4. Step 4: Simplify right side
    282,825.60x = 60,011,224,115.20
  5. Step 5: Solve for x
    x = 60,011,224,115.20/282,825.60
  6. Step 6: Final answer
    x = 212,184.56

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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.