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Finding the Fourth Proportional to 146,316, 219,451.52 and 46,463.24

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Solution

The fourth proportional to 146,316, 219,451.52 and 46,463.24 is: 69,687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,316 : 219,451.52 = 46,463.24 : x
  2. Step 2: Convert to fraction form
    146,316/219,451.52 = 46,463.24/x
  3. Step 3: Cross multiply
    146,316x = 219,451.52 × 46,463.24
  4. Step 4: Simplify right side
    146,316x = 10,196,428,642.12
  5. Step 5: Solve for x
    x = 10,196,428,642.12/146,316
  6. Step 6: Final answer
    x = 69,687.72

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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.