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Finding the Fourth Proportional to 210,951.04, 316,477.32 and 86,292.40

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Solution

The fourth proportional to 210,951.04, 316,477.32 and 86,292.40 is: 129,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,951.04 : 316,477.32 = 86,292.40 : x
  2. Step 2: Convert to fraction form
    210,951.04/316,477.32 = 86,292.40/x
  3. Step 3: Cross multiply
    210,951.04x = 316,477.32 × 86,292.40
  4. Step 4: Simplify right side
    210,951.04x = 27,309,587,488.37
  5. Step 5: Solve for x
    x = 27,309,587,488.37/210,951.04
  6. Step 6: Final answer
    x = 129,459.36

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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.