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Finding the Fourth Proportional to 200,740.71, 277,020.88 and 114,726.00

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Solution

The fourth proportional to 200,740.71, 277,020.88 and 114,726.00 is: 158,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,740.71 : 277,020.88 = 114,726.00 : x
  2. Step 2: Convert to fraction form
    200,740.71/277,020.88 = 114,726.00/x
  3. Step 3: Cross multiply
    200,740.71x = 277,020.88 × 114,726.00
  4. Step 4: Simplify right side
    200,740.71x = 31,781,495,938.13
  5. Step 5: Solve for x
    x = 31,781,495,938.13/200,740.71
  6. Step 6: Final answer
    x = 158,321.13

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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.