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Finding the Fourth Proportional to 114,020.47, 157,356.93 and 65,637.19

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Solution

The fourth proportional to 114,020.47, 157,356.93 and 65,637.19 is: 90,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,020.47 : 157,356.93 = 65,637.19 : x
  2. Step 2: Convert to fraction form
    114,020.47/157,356.93 = 65,637.19/x
  3. Step 3: Cross multiply
    114,020.47x = 157,356.93 × 65,637.19
  4. Step 4: Simplify right side
    114,020.47x = 10,328,466,712.23
  5. Step 5: Solve for x
    x = 10,328,466,712.23/114,020.47
  6. Step 6: Final answer
    x = 90,584.32

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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.