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Finding the Fourth Proportional to 257,025.41, 354,695.02 and 143,848.16

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Solution

The fourth proportional to 257,025.41, 354,695.02 and 143,848.16 is: 198,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,025.41 : 354,695.02 = 143,848.16 : x
  2. Step 2: Convert to fraction form
    257,025.41/354,695.02 = 143,848.16/x
  3. Step 3: Cross multiply
    257,025.41x = 354,695.02 × 143,848.16
  4. Step 4: Simplify right side
    257,025.41x = 51,022,225,988.16
  5. Step 5: Solve for x
    x = 51,022,225,988.16/257,025.41
  6. Step 6: Final answer
    x = 198,510.44

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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.