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Finding the Fourth Proportional to 282,075.06, 423,113.58 and 71,713.02

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Solution

The fourth proportional to 282,075.06, 423,113.58 and 71,713.02 is: 107,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,075.06 : 423,113.58 = 71,713.02 : x
  2. Step 2: Convert to fraction form
    282,075.06/423,113.58 = 71,713.02/x
  3. Step 3: Cross multiply
    282,075.06x = 423,113.58 × 71,713.02
  4. Step 4: Simplify right side
    282,075.06x = 30,342,752,624.81
  5. Step 5: Solve for x
    x = 30,342,752,624.81/282,075.06
  6. Step 6: Final answer
    x = 107,569.78

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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.