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Finding the Fourth Proportional to 211,061.40, 316,323.30 and 86,261.40

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Solution

The fourth proportional to 211,061.40, 316,323.30 and 86,261.40 is: 129,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,061.40 : 316,323.30 = 86,261.40 : x
  2. Step 2: Convert to fraction form
    211,061.40/316,323.30 = 86,261.40/x
  3. Step 3: Cross multiply
    211,061.40x = 316,323.30 × 86,261.40
  4. Step 4: Simplify right side
    211,061.40x = 27,286,490,710.62
  5. Step 5: Solve for x
    x = 27,286,490,710.62/211,061.40
  6. Step 6: Final answer
    x = 129,282.24

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