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Finding the Fourth Proportional to 253,790.16, 350,071.84 and 163,264

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Solution

The fourth proportional to 253,790.16, 350,071.84 and 163,264 is: 225,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,790.16 : 350,071.84 = 163,264 : x
  2. Step 2: Convert to fraction form
    253,790.16/350,071.84 = 163,264/x
  3. Step 3: Cross multiply
    253,790.16x = 350,071.84 × 163,264
  4. Step 4: Simplify right side
    253,790.16x = 57,154,128,885.76
  5. Step 5: Solve for x
    x = 57,154,128,885.76/253,790.16
  6. Step 6: Final answer
    x = 225,202.30

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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.