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Finding the Fourth Proportional to 202,011.66, 278,726.10 and 121,423.14

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Solution

The fourth proportional to 202,011.66, 278,726.10 and 121,423.14 is: 167,533.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,011.66 : 278,726.10 = 121,423.14 : x
  2. Step 2: Convert to fraction form
    202,011.66/278,726.10 = 121,423.14/x
  3. Step 3: Cross multiply
    202,011.66x = 278,726.10 × 121,423.14
  4. Step 4: Simplify right side
    202,011.66x = 33,843,798,261.95
  5. Step 5: Solve for x
    x = 33,843,798,261.95/202,011.66
  6. Step 6: Final answer
    x = 167,533.89

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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.