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Finding the Fourth Proportional to 261,528.48, 360,904.14 and 146,809.80

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Solution

The fourth proportional to 261,528.48, 360,904.14 and 146,809.80 is: 202,594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,528.48 : 360,904.14 = 146,809.80 : x
  2. Step 2: Convert to fraction form
    261,528.48/360,904.14 = 146,809.80/x
  3. Step 3: Cross multiply
    261,528.48x = 360,904.14 × 146,809.80
  4. Step 4: Simplify right side
    261,528.48x = 52,984,264,612.57
  5. Step 5: Solve for x
    x = 52,984,264,612.57/261,528.48
  6. Step 6: Final answer
    x = 202,594.63

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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.