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Finding the Fourth Proportional to 152,026.40, 228,039.60 and 96,039.20

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Solution

The fourth proportional to 152,026.40, 228,039.60 and 96,039.20 is: 144,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,026.40 : 228,039.60 = 96,039.20 : x
  2. Step 2: Convert to fraction form
    152,026.40/228,039.60 = 96,039.20/x
  3. Step 3: Cross multiply
    152,026.40x = 228,039.60 × 96,039.20
  4. Step 4: Simplify right side
    152,026.40x = 21,900,740,752.32
  5. Step 5: Solve for x
    x = 21,900,740,752.32/152,026.40
  6. Step 6: Final answer
    x = 144,058.80

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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.