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Finding the Fourth Proportional to 200,949.40, 301,424.10 and 153,710.20

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Solution

The fourth proportional to 200,949.40, 301,424.10 and 153,710.20 is: 230,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,949.40 : 301,424.10 = 153,710.20 : x
  2. Step 2: Convert to fraction form
    200,949.40/301,424.10 = 153,710.20/x
  3. Step 3: Cross multiply
    200,949.40x = 301,424.10 × 153,710.20
  4. Step 4: Simplify right side
    200,949.40x = 46,331,958,695.82
  5. Step 5: Solve for x
    x = 46,331,958,695.82/200,949.40
  6. Step 6: Final answer
    x = 230,565.30

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1.5x scale

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.