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Finding the Fourth Proportional to 361,873.52, 542,664.42 and 109,075.76

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Solution

The fourth proportional to 361,873.52, 542,664.42 and 109,075.76 is: 163,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,873.52 : 542,664.42 = 109,075.76 : x
  2. Step 2: Convert to fraction form
    361,873.52/542,664.42 = 109,075.76/x
  3. Step 3: Cross multiply
    361,873.52x = 542,664.42 × 109,075.76
  4. Step 4: Simplify right side
    361,873.52x = 59,191,534,036.46
  5. Step 5: Solve for x
    x = 59,191,534,036.46/361,873.52
  6. Step 6: Final answer
    x = 163,569.67

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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.