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Finding the Fourth Proportional to 253,009.44, 349,314.04 and 157,656.24

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Solution

The fourth proportional to 253,009.44, 349,314.04 and 157,656.24 is: 217,665.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,009.44 : 349,314.04 = 157,656.24 : x
  2. Step 2: Convert to fraction form
    253,009.44/349,314.04 = 157,656.24/x
  3. Step 3: Cross multiply
    253,009.44x = 349,314.04 × 157,656.24
  4. Step 4: Simplify right side
    253,009.44x = 55,071,538,125.61
  5. Step 5: Solve for x
    x = 55,071,538,125.61/253,009.44
  6. Step 6: Final answer
    x = 217,665.94

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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.