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Finding the Fourth Proportional to 219,034.50, 328,551.76 and 85,977.42

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Solution

The fourth proportional to 219,034.50, 328,551.76 and 85,977.42 is: 128,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,034.50 : 328,551.76 = 85,977.42 : x
  2. Step 2: Convert to fraction form
    219,034.50/328,551.76 = 85,977.42/x
  3. Step 3: Cross multiply
    219,034.50x = 328,551.76 × 85,977.42
  4. Step 4: Simplify right side
    219,034.50x = 28,248,032,661.26
  5. Step 5: Solve for x
    x = 28,248,032,661.26/219,034.50
  6. Step 6: Final answer
    x = 128,966.13

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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.