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Finding the Fourth Proportional to 292,248.32, 438,477.76 and 102,760.96

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Solution

The fourth proportional to 292,248.32, 438,477.76 and 102,760.96 is: 154,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,248.32 : 438,477.76 = 102,760.96 : x
  2. Step 2: Convert to fraction form
    292,248.32/438,477.76 = 102,760.96/x
  3. Step 3: Cross multiply
    292,248.32x = 438,477.76 × 102,760.96
  4. Step 4: Simplify right side
    292,248.32x = 45,058,395,556.25
  5. Step 5: Solve for x
    x = 45,058,395,556.25/292,248.32
  6. Step 6: Final answer
    x = 154,178.46

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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.