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Finding the Fourth Proportional to 219,312.70, 328,969.05 and 86,148.70

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Solution

The fourth proportional to 219,312.70, 328,969.05 and 86,148.70 is: 129,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,312.70 : 328,969.05 = 86,148.70 : x
  2. Step 2: Convert to fraction form
    219,312.70/328,969.05 = 86,148.70/x
  3. Step 3: Cross multiply
    219,312.70x = 328,969.05 × 86,148.70
  4. Step 4: Simplify right side
    219,312.70x = 28,340,255,997.74
  5. Step 5: Solve for x
    x = 28,340,255,997.74/219,312.70
  6. Step 6: Final answer
    x = 129,223.05

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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.