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Finding the Fourth Proportional to 114,130.12, 157,499.46 and 63,829

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Solution

The fourth proportional to 114,130.12, 157,499.46 and 63,829 is: 88,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,130.12 : 157,499.46 = 63,829 : x
  2. Step 2: Convert to fraction form
    114,130.12/157,499.46 = 63,829/x
  3. Step 3: Cross multiply
    114,130.12x = 157,499.46 × 63,829
  4. Step 4: Simplify right side
    114,130.12x = 10,053,033,032.34
  5. Step 5: Solve for x
    x = 10,053,033,032.34/114,130.12
  6. Step 6: Final answer
    x = 88,083.96

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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.