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Finding the Fourth Proportional to 132,031.40, 197,574 and 114,323.18

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Solution

The fourth proportional to 132,031.40, 197,574 and 114,323.18 is: 171,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,031.40 : 197,574 = 114,323.18 : x
  2. Step 2: Convert to fraction form
    132,031.40/197,574 = 114,323.18/x
  3. Step 3: Cross multiply
    132,031.40x = 197,574 × 114,323.18
  4. Step 4: Simplify right side
    132,031.40x = 22,587,287,965.32
  5. Step 5: Solve for x
    x = 22,587,287,965.32/132,031.40
  6. Step 6: Final answer
    x = 171,075.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.