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Finding the Fourth Proportional to 241,699.10, 362,404.65 and 148,271.90

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Solution

The fourth proportional to 241,699.10, 362,404.65 and 148,271.90 is: 222,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,699.10 : 362,404.65 = 148,271.90 : x
  2. Step 2: Convert to fraction form
    241,699.10/362,404.65 = 148,271.90/x
  3. Step 3: Cross multiply
    241,699.10x = 362,404.65 × 148,271.90
  4. Step 4: Simplify right side
    241,699.10x = 53,734,426,024.34
  5. Step 5: Solve for x
    x = 53,734,426,024.34/241,699.10
  6. Step 6: Final answer
    x = 222,319.51

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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.