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Finding the Fourth Proportional to 152,153.60, 228,040.32 and 105,031.04

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Solution

The fourth proportional to 152,153.60, 228,040.32 and 105,031.04 is: 157,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,153.60 : 228,040.32 = 105,031.04 : x
  2. Step 2: Convert to fraction form
    152,153.60/228,040.32 = 105,031.04/x
  3. Step 3: Cross multiply
    152,153.60x = 228,040.32 × 105,031.04
  4. Step 4: Simplify right side
    152,153.60x = 23,951,311,971.53
  5. Step 5: Solve for x
    x = 23,951,311,971.53/152,153.60
  6. Step 6: Final answer
    x = 157,415.35

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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.