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Finding the Fourth Proportional to 153,010.96, 229,516.48 and 47,830.88

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Solution

The fourth proportional to 153,010.96, 229,516.48 and 47,830.88 is: 71,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,010.96 : 229,516.48 = 47,830.88 : x
  2. Step 2: Convert to fraction form
    153,010.96/229,516.48 = 47,830.88/x
  3. Step 3: Cross multiply
    153,010.96x = 229,516.48 × 47,830.88
  4. Step 4: Simplify right side
    153,010.96x = 10,977,975,212.90
  5. Step 5: Solve for x
    x = 10,977,975,212.90/153,010.96
  6. Step 6: Final answer
    x = 71,746.33

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1.5x scale

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.