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Finding the Fourth Proportional to 152,443.50, 228,805.62 and 77,617.14

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Solution

The fourth proportional to 152,443.50, 228,805.62 and 77,617.14 is: 116,497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,443.50 : 228,805.62 = 77,617.14 : x
  2. Step 2: Convert to fraction form
    152,443.50/228,805.62 = 77,617.14/x
  3. Step 3: Cross multiply
    152,443.50x = 228,805.62 × 77,617.14
  4. Step 4: Simplify right side
    152,443.50x = 17,759,237,840.33
  5. Step 5: Solve for x
    x = 17,759,237,840.33/152,443.50
  6. Step 6: Final answer
    x = 116,497.18

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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.