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Finding the Fourth Proportional to 200,008.64, 300,014.52 and 59,768.48

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Solution

The fourth proportional to 200,008.64, 300,014.52 and 59,768.48 is: 89,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,008.64 : 300,014.52 = 59,768.48 : x
  2. Step 2: Convert to fraction form
    200,008.64/300,014.52 = 59,768.48/x
  3. Step 3: Cross multiply
    200,008.64x = 300,014.52 × 59,768.48
  4. Step 4: Simplify right side
    200,008.64x = 17,931,411,838.33
  5. Step 5: Solve for x
    x = 17,931,411,838.33/200,008.64
  6. Step 6: Final answer
    x = 89,653.19

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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.