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Finding the Fourth Proportional to 292,233.40, 438,047.70 and 158,831.80

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Solution

The fourth proportional to 292,233.40, 438,047.70 and 158,831.80 is: 238,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,233.40 : 438,047.70 = 158,831.80 : x
  2. Step 2: Convert to fraction form
    292,233.40/438,047.70 = 158,831.80/x
  3. Step 3: Cross multiply
    292,233.40x = 438,047.70 × 158,831.80
  4. Step 4: Simplify right side
    292,233.40x = 69,575,904,676.86
  5. Step 5: Solve for x
    x = 69,575,904,676.86/292,233.40
  6. Step 6: Final answer
    x = 238,083.34

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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.