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Finding the Fourth Proportional to 217,178.64, 299,715.12 and 121,686.12

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Solution

The fourth proportional to 217,178.64, 299,715.12 and 121,686.12 is: 167,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,178.64 : 299,715.12 = 121,686.12 : x
  2. Step 2: Convert to fraction form
    217,178.64/299,715.12 = 121,686.12/x
  3. Step 3: Cross multiply
    217,178.64x = 299,715.12 × 121,686.12
  4. Step 4: Simplify right side
    217,178.64x = 36,471,170,058.13
  5. Step 5: Solve for x
    x = 36,471,170,058.13/217,178.64
  6. Step 6: Final answer
    x = 167,931.66

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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.