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Finding the Fourth Proportional to 256,053.84, 353,301.55 and 147,137.14

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Solution

The fourth proportional to 256,053.84, 353,301.55 and 147,137.14 is: 203,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,053.84 : 353,301.55 = 147,137.14 : x
  2. Step 2: Convert to fraction form
    256,053.84/353,301.55 = 147,137.14/x
  3. Step 3: Cross multiply
    256,053.84x = 353,301.55 × 147,137.14
  4. Step 4: Simplify right side
    256,053.84x = 51,983,779,624.57
  5. Step 5: Solve for x
    x = 51,983,779,624.57/256,053.84
  6. Step 6: Final answer
    x = 203,018.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.