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Finding the Fourth Proportional to 142,063.02, 213,052.14 and 117,041.04

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Solution

The fourth proportional to 142,063.02, 213,052.14 and 117,041.04 is: 175,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,063.02 : 213,052.14 = 117,041.04 : x
  2. Step 2: Convert to fraction form
    142,063.02/213,052.14 = 117,041.04/x
  3. Step 3: Cross multiply
    142,063.02x = 213,052.14 × 117,041.04
  4. Step 4: Simplify right side
    142,063.02x = 24,935,844,039.83
  5. Step 5: Solve for x
    x = 24,935,844,039.83/142,063.02
  6. Step 6: Final answer
    x = 175,526.64

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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.