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Finding the Fourth Proportional to 257,545.36, 355,411.48 and 144,368.12

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Solution

The fourth proportional to 257,545.36, 355,411.48 and 144,368.12 is: 199,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,545.36 : 355,411.48 = 144,368.12 : x
  2. Step 2: Convert to fraction form
    257,545.36/355,411.48 = 144,368.12/x
  3. Step 3: Cross multiply
    257,545.36x = 355,411.48 × 144,368.12
  4. Step 4: Simplify right side
    257,545.36x = 51,310,087,194.02
  5. Step 5: Solve for x
    x = 51,310,087,194.02/257,545.36
  6. Step 6: Final answer
    x = 199,227.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.