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Finding the Fourth Proportional to 257,678.77, 355,598.84 and 142,964.94

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Solution

The fourth proportional to 257,678.77, 355,598.84 and 142,964.94 is: 197,292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,678.77 : 355,598.84 = 142,964.94 : x
  2. Step 2: Convert to fraction form
    257,678.77/355,598.84 = 142,964.94/x
  3. Step 3: Cross multiply
    257,678.77x = 355,598.84 × 142,964.94
  4. Step 4: Simplify right side
    257,678.77x = 50,838,166,109.84
  5. Step 5: Solve for x
    x = 50,838,166,109.84/257,678.77
  6. Step 6: Final answer
    x = 197,292.80

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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.