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Finding the Fourth Proportional to 259,790.42, 358,472.34 and 157,762.82

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Solution

The fourth proportional to 259,790.42, 358,472.34 and 157,762.82 is: 217,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,790.42 : 358,472.34 = 157,762.82 : x
  2. Step 2: Convert to fraction form
    259,790.42/358,472.34 = 157,762.82/x
  3. Step 3: Cross multiply
    259,790.42x = 358,472.34 × 157,762.82
  4. Step 4: Simplify right side
    259,790.42x = 56,553,607,250.40
  5. Step 5: Solve for x
    x = 56,553,607,250.40/259,790.42
  6. Step 6: Final answer
    x = 217,689.35

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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.