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Finding the Fourth Proportional to 326,144.34, 489,154.68 and 101,507.58

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Solution

The fourth proportional to 326,144.34, 489,154.68 and 101,507.58 is: 152,242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,144.34 : 489,154.68 = 101,507.58 : x
  2. Step 2: Convert to fraction form
    326,144.34/489,154.68 = 101,507.58/x
  3. Step 3: Cross multiply
    326,144.34x = 489,154.68 × 101,507.58
  4. Step 4: Simplify right side
    326,144.34x = 49,652,907,812.47
  5. Step 5: Solve for x
    x = 49,652,907,812.47/326,144.34
  6. Step 6: Final answer
    x = 152,242.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.