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Finding the Fourth Proportional to 152,442.50, 228,804.12 and 77,616.14

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Solution

The fourth proportional to 152,442.50, 228,804.12 and 77,616.14 is: 116,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,442.50 : 228,804.12 = 77,616.14 : x
  2. Step 2: Convert to fraction form
    152,442.50/228,804.12 = 77,616.14/x
  3. Step 3: Cross multiply
    152,442.50x = 228,804.12 × 77,616.14
  4. Step 4: Simplify right side
    152,442.50x = 17,758,892,610.50
  5. Step 5: Solve for x
    x = 17,758,892,610.50/152,442.50
  6. Step 6: Final answer
    x = 116,495.68

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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.