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Finding the Fourth Proportional to 282,064.40, 423,084.60 and 95,075.60

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Solution

The fourth proportional to 282,064.40, 423,084.60 and 95,075.60 is: 142,609.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,064.40 : 423,084.60 = 95,075.60 : x
  2. Step 2: Convert to fraction form
    282,064.40/423,084.60 = 95,075.60/x
  3. Step 3: Cross multiply
    282,064.40x = 423,084.60 × 95,075.60
  4. Step 4: Simplify right side
    282,064.40x = 40,225,022,195.76
  5. Step 5: Solve for x
    x = 40,225,022,195.76/282,064.40
  6. Step 6: Final answer
    x = 142,609.36

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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.