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Finding the Fourth Proportional to 153,808.96, 230,712.01 and 48,627.94

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Solution

The fourth proportional to 153,808.96, 230,712.01 and 48,627.94 is: 72,941.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,808.96 : 230,712.01 = 48,627.94 : x
  2. Step 2: Convert to fraction form
    153,808.96/230,712.01 = 48,627.94/x
  3. Step 3: Cross multiply
    153,808.96x = 230,712.01 × 48,627.94
  4. Step 4: Simplify right side
    153,808.96x = 11,219,049,779.56
  5. Step 5: Solve for x
    x = 11,219,049,779.56/153,808.96
  6. Step 6: Final answer
    x = 72,941.46

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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.