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Finding the Fourth Proportional to 200,772.60, 277,061.19 and 114,726.12

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Solution

The fourth proportional to 200,772.60, 277,061.19 and 114,726.12 is: 158,319.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,772.60 : 277,061.19 = 114,726.12 : x
  2. Step 2: Convert to fraction form
    200,772.60/277,061.19 = 114,726.12/x
  3. Step 3: Cross multiply
    200,772.60x = 277,061.19 × 114,726.12
  4. Step 4: Simplify right side
    200,772.60x = 31,786,153,372.35
  5. Step 5: Solve for x
    x = 31,786,153,372.35/200,772.60
  6. Step 6: Final answer
    x = 158,319.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.