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Finding the Fourth Proportional to 292,170.72, 438,058.32 and 114,566.88

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Solution

The fourth proportional to 292,170.72, 438,058.32 and 114,566.88 is: 171,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,170.72 : 438,058.32 = 114,566.88 : x
  2. Step 2: Convert to fraction form
    292,170.72/438,058.32 = 114,566.88/x
  3. Step 3: Cross multiply
    292,170.72x = 438,058.32 × 114,566.88
  4. Step 4: Simplify right side
    292,170.72x = 50,186,974,980.44
  5. Step 5: Solve for x
    x = 50,186,974,980.44/292,170.72
  6. Step 6: Final answer
    x = 171,772.77

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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.