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Finding the Fourth Proportional to 282,473.32, 423,710 and 105,025

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Solution

The fourth proportional to 282,473.32, 423,710 and 105,025 is: 157,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,473.32 : 423,710 = 105,025 : x
  2. Step 2: Convert to fraction form
    282,473.32/423,710 = 105,025/x
  3. Step 3: Cross multiply
    282,473.32x = 423,710 × 105,025
  4. Step 4: Simplify right side
    282,473.32x = 44,500,142,750
  5. Step 5: Solve for x
    x = 44,500,142,750/282,473.32
  6. Step 6: Final answer
    x = 157,537.51

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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.