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Finding the Fourth Proportional to 265,248, 366,042.24 and 152,108.16

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Solution

The fourth proportional to 265,248, 366,042.24 and 152,108.16 is: 209,909.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,248 : 366,042.24 = 152,108.16 : x
  2. Step 2: Convert to fraction form
    265,248/366,042.24 = 152,108.16/x
  3. Step 3: Cross multiply
    265,248x = 366,042.24 × 152,108.16
  4. Step 4: Simplify right side
    265,248x = 55,678,011,608.68
  5. Step 5: Solve for x
    x = 55,678,011,608.68/265,248
  6. Step 6: Final answer
    x = 209,909.26

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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.