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Finding the Fourth Proportional to 146,497.86, 202,153.05 and 116,356.14

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Solution

The fourth proportional to 146,497.86, 202,153.05 and 116,356.14 is: 160,560.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,497.86 : 202,153.05 = 116,356.14 : x
  2. Step 2: Convert to fraction form
    146,497.86/202,153.05 = 116,356.14/x
  3. Step 3: Cross multiply
    146,497.86x = 202,153.05 × 116,356.14
  4. Step 4: Simplify right side
    146,497.86x = 23,521,748,587.23
  5. Step 5: Solve for x
    x = 23,521,748,587.23/146,497.86
  6. Step 6: Final answer
    x = 160,560.36

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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.