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Finding the Fourth Proportional to 256,065.83, 353,368.86 and 141,344.51

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Solution

The fourth proportional to 256,065.83, 353,368.86 and 141,344.51 is: 195,054.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,065.83 : 353,368.86 = 141,344.51 : x
  2. Step 2: Convert to fraction form
    256,065.83/353,368.86 = 141,344.51/x
  3. Step 3: Cross multiply
    256,065.83x = 353,368.86 × 141,344.51
  4. Step 4: Simplify right side
    256,065.83x = 49,946,747,454.24
  5. Step 5: Solve for x
    x = 49,946,747,454.24/256,065.83
  6. Step 6: Final answer
    x = 195,054.32

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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.