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Finding the Fourth Proportional to 219,038.50, 328,557.76 and 85,981.42

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Solution

The fourth proportional to 219,038.50, 328,557.76 and 85,981.42 is: 128,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,038.50 : 328,557.76 = 85,981.42 : x
  2. Step 2: Convert to fraction form
    219,038.50/328,557.76 = 85,981.42/x
  3. Step 3: Cross multiply
    219,038.50x = 328,557.76 × 85,981.42
  4. Step 4: Simplify right side
    219,038.50x = 28,249,862,756.82
  5. Step 5: Solve for x
    x = 28,249,862,756.82/219,038.50
  6. Step 6: Final answer
    x = 128,972.13

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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.