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Finding the Fourth Proportional to 256,295.66, 353,686.59 and 141,582.17

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Solution

The fourth proportional to 256,295.66, 353,686.59 and 141,582.17 is: 195,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,295.66 : 353,686.59 = 141,582.17 : x
  2. Step 2: Convert to fraction form
    256,295.66/353,686.59 = 141,582.17/x
  3. Step 3: Cross multiply
    256,295.66x = 353,686.59 × 141,582.17
  4. Step 4: Simplify right side
    256,295.66x = 50,075,715,796.32
  5. Step 5: Solve for x
    x = 50,075,715,796.32/256,295.66
  6. Step 6: Final answer
    x = 195,382.62

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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.