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Finding the Fourth Proportional to 211,058.40, 316,318.80 and 86,258.40

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Solution

The fourth proportional to 211,058.40, 316,318.80 and 86,258.40 is: 129,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,058.40 : 316,318.80 = 86,258.40 : x
  2. Step 2: Convert to fraction form
    211,058.40/316,318.80 = 86,258.40/x
  3. Step 3: Cross multiply
    211,058.40x = 316,318.80 × 86,258.40
  4. Step 4: Simplify right side
    211,058.40x = 27,285,153,577.92
  5. Step 5: Solve for x
    x = 27,285,153,577.92/211,058.40
  6. Step 6: Final answer
    x = 129,277.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.