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Finding the Fourth Proportional to 152,874.40, 229,300.80 and 53,010.40

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Solution

The fourth proportional to 152,874.40, 229,300.80 and 53,010.40 is: 79,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,874.40 : 229,300.80 = 53,010.40 : x
  2. Step 2: Convert to fraction form
    152,874.40/229,300.80 = 53,010.40/x
  3. Step 3: Cross multiply
    152,874.40x = 229,300.80 × 53,010.40
  4. Step 4: Simplify right side
    152,874.40x = 12,155,327,128.32
  5. Step 5: Solve for x
    x = 12,155,327,128.32/152,874.40
  6. Step 6: Final answer
    x = 79,511.86

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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.