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Finding the Fourth Proportional to 219,828.70, 329,852.40 and 86,713.30

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Solution

The fourth proportional to 219,828.70, 329,852.40 and 86,713.30 is: 130,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,828.70 : 329,852.40 = 86,713.30 : x
  2. Step 2: Convert to fraction form
    219,828.70/329,852.40 = 86,713.30/x
  3. Step 3: Cross multiply
    219,828.70x = 329,852.40 × 86,713.30
  4. Step 4: Simplify right side
    219,828.70x = 28,602,590,116.92
  5. Step 5: Solve for x
    x = 28,602,590,116.92/219,828.70
  6. Step 6: Final answer
    x = 130,113.08

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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.