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Finding the Fourth Proportional to 142,075.80, 213,005.70 and 72,005.40

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Solution

The fourth proportional to 142,075.80, 213,005.70 and 72,005.40 is: 107,953.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,075.80 : 213,005.70 = 72,005.40 : x
  2. Step 2: Convert to fraction form
    142,075.80/213,005.70 = 72,005.40/x
  3. Step 3: Cross multiply
    142,075.80x = 213,005.70 × 72,005.40
  4. Step 4: Simplify right side
    142,075.80x = 15,337,560,630.78
  5. Step 5: Solve for x
    x = 15,337,560,630.78/142,075.80
  6. Step 6: Final answer
    x = 107,953.36

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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.