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Finding the Fourth Proportional to 361,597.93, 542,271.13 and 148,305.29

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Solution

The fourth proportional to 361,597.93, 542,271.13 and 148,305.29 is: 222,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,597.93 : 542,271.13 = 148,305.29 : x
  2. Step 2: Convert to fraction form
    361,597.93/542,271.13 = 148,305.29/x
  3. Step 3: Cross multiply
    361,597.93x = 542,271.13 × 148,305.29
  4. Step 4: Simplify right side
    361,597.93x = 80,421,674,111.16
  5. Step 5: Solve for x
    x = 80,421,674,111.16/361,597.93
  6. Step 6: Final answer
    x = 222,406.35

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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.