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Finding the Fourth Proportional to 257,693.58, 355,616.46 and 144,518.76

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Solution

The fourth proportional to 257,693.58, 355,616.46 and 144,518.76 is: 199,435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,693.58 : 355,616.46 = 144,518.76 : x
  2. Step 2: Convert to fraction form
    257,693.58/355,616.46 = 144,518.76/x
  3. Step 3: Cross multiply
    257,693.58x = 355,616.46 × 144,518.76
  4. Step 4: Simplify right side
    257,693.58x = 51,393,249,834.79
  5. Step 5: Solve for x
    x = 51,393,249,834.79/257,693.58
  6. Step 6: Final answer
    x = 199,435.51

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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.