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Finding the Fourth Proportional to 152,928, 229,400.64 and 54,432

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Solution

The fourth proportional to 152,928, 229,400.64 and 54,432 is: 81,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,928 : 229,400.64 = 54,432 : x
  2. Step 2: Convert to fraction form
    152,928/229,400.64 = 54,432/x
  3. Step 3: Cross multiply
    152,928x = 229,400.64 × 54,432
  4. Step 4: Simplify right side
    152,928x = 12,486,735,636.48
  5. Step 5: Solve for x
    x = 12,486,735,636.48/152,928
  6. Step 6: Final answer
    x = 81,651.08

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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.