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Finding the Fourth Proportional to 255,280.77, 382,871.75 and 97,471.71

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Solution

The fourth proportional to 255,280.77, 382,871.75 and 97,471.71 is: 146,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,280.77 : 382,871.75 = 97,471.71 : x
  2. Step 2: Convert to fraction form
    255,280.77/382,871.75 = 97,471.71/x
  3. Step 3: Cross multiply
    255,280.77x = 382,871.75 × 97,471.71
  4. Step 4: Simplify right side
    255,280.77x = 37,319,163,695.83
  5. Step 5: Solve for x
    x = 37,319,163,695.83/255,280.77
  6. Step 6: Final answer
    x = 146,188.70

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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.