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Finding the Fourth Proportional to 282,143.93, 423,334.62 and 175,616.98

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Solution

The fourth proportional to 282,143.93, 423,334.62 and 175,616.98 is: 263,499.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,143.93 : 423,334.62 = 175,616.98 : x
  2. Step 2: Convert to fraction form
    282,143.93/423,334.62 = 175,616.98/x
  3. Step 3: Cross multiply
    282,143.93x = 423,334.62 × 175,616.98
  4. Step 4: Simplify right side
    282,143.93x = 74,344,746,435.51
  5. Step 5: Solve for x
    x = 74,344,746,435.51/282,143.93
  6. Step 6: Final answer
    x = 263,499.37

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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.