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Finding the Fourth Proportional to 256,298.16, 353,690.04 and 141,584.68

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Solution

The fourth proportional to 256,298.16, 353,690.04 and 141,584.68 is: 195,386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,298.16 : 353,690.04 = 141,584.68 : x
  2. Step 2: Convert to fraction form
    256,298.16/353,690.04 = 141,584.68/x
  3. Step 3: Cross multiply
    256,298.16x = 353,690.04 × 141,584.68
  4. Step 4: Simplify right side
    256,298.16x = 50,077,091,132.59
  5. Step 5: Solve for x
    x = 50,077,091,132.59/256,298.16
  6. Step 6: Final answer
    x = 195,386.07

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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.