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Finding the Fourth Proportional to 282,074.44, 423,020.94 and 148,878.04

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Solution

The fourth proportional to 282,074.44, 423,020.94 and 148,878.04 is: 223,269.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,074.44 : 423,020.94 = 148,878.04 : x
  2. Step 2: Convert to fraction form
    282,074.44/423,020.94 = 148,878.04/x
  3. Step 3: Cross multiply
    282,074.44x = 423,020.94 × 148,878.04
  4. Step 4: Simplify right side
    282,074.44x = 62,978,528,426.16
  5. Step 5: Solve for x
    x = 62,978,528,426.16/282,074.44
  6. Step 6: Final answer
    x = 223,269.18

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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.