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Finding the Fourth Proportional to 200,110.68, 299,901.33 and 105,146.78

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Solution

The fourth proportional to 200,110.68, 299,901.33 and 105,146.78 is: 157,581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,110.68 : 299,901.33 = 105,146.78 : x
  2. Step 2: Convert to fraction form
    200,110.68/299,901.33 = 105,146.78/x
  3. Step 3: Cross multiply
    200,110.68x = 299,901.33 × 105,146.78
  4. Step 4: Simplify right side
    200,110.68x = 31,533,657,667.71
  5. Step 5: Solve for x
    x = 31,533,657,667.71/200,110.68
  6. Step 6: Final answer
    x = 157,581.08

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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.