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Finding the Fourth Proportional to 233,672.07, 322,255.74 and 153,070.20

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Solution

The fourth proportional to 233,672.07, 322,255.74 and 153,070.20 is: 211,098.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,672.07 : 322,255.74 = 153,070.20 : x
  2. Step 2: Convert to fraction form
    233,672.07/322,255.74 = 153,070.20/x
  3. Step 3: Cross multiply
    233,672.07x = 322,255.74 × 153,070.20
  4. Step 4: Simplify right side
    233,672.07x = 49,327,750,572.95
  5. Step 5: Solve for x
    x = 49,327,750,572.95/233,672.07
  6. Step 6: Final answer
    x = 211,098.19

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1.5x scale

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.