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Finding the Fourth Proportional to 292,027.20, 438,040.80 and 152,059.20

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Solution

The fourth proportional to 292,027.20, 438,040.80 and 152,059.20 is: 228,088.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,027.20 : 438,040.80 = 152,059.20 : x
  2. Step 2: Convert to fraction form
    292,027.20/438,040.80 = 152,059.20/x
  3. Step 3: Cross multiply
    292,027.20x = 438,040.80 × 152,059.20
  4. Step 4: Simplify right side
    292,027.20x = 66,608,133,615.36
  5. Step 5: Solve for x
    x = 66,608,133,615.36/292,027.20
  6. Step 6: Final answer
    x = 228,088.80

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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.