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Finding the Fourth Proportional to 219,830.40, 329,680.80 and 86,666.40

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Solution

The fourth proportional to 219,830.40, 329,680.80 and 86,666.40 is: 129,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,830.40 : 329,680.80 = 86,666.40 : x
  2. Step 2: Convert to fraction form
    219,830.40/329,680.80 = 86,666.40/x
  3. Step 3: Cross multiply
    219,830.40x = 329,680.80 × 86,666.40
  4. Step 4: Simplify right side
    219,830.40x = 28,572,248,085.12
  5. Step 5: Solve for x
    x = 28,572,248,085.12/219,830.40
  6. Step 6: Final answer
    x = 129,974.05

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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.