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Finding the Fourth Proportional to 142,433.30, 213,516.30 and 53,746.40

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Solution

The fourth proportional to 142,433.30, 213,516.30 and 53,746.40 is: 80,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,433.30 : 213,516.30 = 53,746.40 : x
  2. Step 2: Convert to fraction form
    142,433.30/213,516.30 = 53,746.40/x
  3. Step 3: Cross multiply
    142,433.30x = 213,516.30 × 53,746.40
  4. Step 4: Simplify right side
    142,433.30x = 11,475,732,466.32
  5. Step 5: Solve for x
    x = 11,475,732,466.32/142,433.30
  6. Step 6: Final answer
    x = 80,569.17

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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.