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Finding the Fourth Proportional to 153,383.16, 230,103.78 and 59,883

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Solution

The fourth proportional to 153,383.16, 230,103.78 and 59,883 is: 89,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,383.16 : 230,103.78 = 59,883 : x
  2. Step 2: Convert to fraction form
    153,383.16/230,103.78 = 59,883/x
  3. Step 3: Cross multiply
    153,383.16x = 230,103.78 × 59,883
  4. Step 4: Simplify right side
    153,383.16x = 13,779,304,657.74
  5. Step 5: Solve for x
    x = 13,779,304,657.74/153,383.16
  6. Step 6: Final answer
    x = 89,835.84

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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.