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Finding the Fourth Proportional to 201,501.30, 302,470.65 and 157,323.90

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Solution

The fourth proportional to 201,501.30, 302,470.65 and 157,323.90 is: 236,156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,501.30 : 302,470.65 = 157,323.90 : x
  2. Step 2: Convert to fraction form
    201,501.30/302,470.65 = 157,323.90/x
  3. Step 3: Cross multiply
    201,501.30x = 302,470.65 × 157,323.90
  4. Step 4: Simplify right side
    201,501.30x = 47,585,862,293.54
  5. Step 5: Solve for x
    x = 47,585,862,293.54/201,501.30
  6. Step 6: Final answer
    x = 236,156.60

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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.