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Finding the Fourth Proportional to 200,464.14, 300,376.35 and 146,907.93

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Solution

The fourth proportional to 200,464.14, 300,376.35 and 146,907.93 is: 220,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,464.14 : 300,376.35 = 146,907.93 : x
  2. Step 2: Convert to fraction form
    200,464.14/300,376.35 = 146,907.93/x
  3. Step 3: Cross multiply
    200,464.14x = 300,376.35 × 146,907.93
  4. Step 4: Simplify right side
    200,464.14x = 44,127,667,799.46
  5. Step 5: Solve for x
    x = 44,127,667,799.46/200,464.14
  6. Step 6: Final answer
    x = 220,127.49

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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.