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Finding the Fourth Proportional to 114,395.42, 157,812.28 and 71,977.34

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Solution

The fourth proportional to 114,395.42, 157,812.28 and 71,977.34 is: 99,295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,395.42 : 157,812.28 = 71,977.34 : x
  2. Step 2: Convert to fraction form
    114,395.42/157,812.28 = 71,977.34/x
  3. Step 3: Cross multiply
    114,395.42x = 157,812.28 × 71,977.34
  4. Step 4: Simplify right side
    114,395.42x = 11,358,908,133.74
  5. Step 5: Solve for x
    x = 11,358,908,133.74/114,395.42
  6. Step 6: Final answer
    x = 99,295.13

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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.