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Finding the Fourth Proportional to 265,632, 366,595.20 and 146,423.04

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Solution

The fourth proportional to 265,632, 366,595.20 and 146,423.04 is: 202,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,632 : 366,595.20 = 146,423.04 : x
  2. Step 2: Convert to fraction form
    265,632/366,595.20 = 146,423.04/x
  3. Step 3: Cross multiply
    265,632x = 366,595.20 × 146,423.04
  4. Step 4: Simplify right side
    265,632x = 53,677,983,633.41
  5. Step 5: Solve for x
    x = 53,677,983,633.41/265,632
  6. Step 6: Final answer
    x = 202,076.50

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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.