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Finding the Fourth Proportional to 219,088.80, 328,762.80 and 78,829.20

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Solution

The fourth proportional to 219,088.80, 328,762.80 and 78,829.20 is: 118,290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,088.80 : 328,762.80 = 78,829.20 : x
  2. Step 2: Convert to fraction form
    219,088.80/328,762.80 = 78,829.20/x
  3. Step 3: Cross multiply
    219,088.80x = 328,762.80 × 78,829.20
  4. Step 4: Simplify right side
    219,088.80x = 25,916,108,513.76
  5. Step 5: Solve for x
    x = 25,916,108,513.76/219,088.80
  6. Step 6: Final answer
    x = 118,290.43

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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.