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Finding the Fourth Proportional to 152,110.40, 228,176.40 and 46,929.20

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Solution

The fourth proportional to 152,110.40, 228,176.40 and 46,929.20 is: 70,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,110.40 : 228,176.40 = 46,929.20 : x
  2. Step 2: Convert to fraction form
    152,110.40/228,176.40 = 46,929.20/x
  3. Step 3: Cross multiply
    152,110.40x = 228,176.40 × 46,929.20
  4. Step 4: Simplify right side
    152,110.40x = 10,708,135,910.88
  5. Step 5: Solve for x
    x = 10,708,135,910.88/152,110.40
  6. Step 6: Final answer
    x = 70,397.13

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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.