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Finding the Fourth Proportional to 262,053.98, 361,632.34 and 165,320.32

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Solution

The fourth proportional to 262,053.98, 361,632.34 and 165,320.32 is: 228,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,053.98 : 361,632.34 = 165,320.32 : x
  2. Step 2: Convert to fraction form
    262,053.98/361,632.34 = 165,320.32/x
  3. Step 3: Cross multiply
    262,053.98x = 361,632.34 × 165,320.32
  4. Step 4: Simplify right side
    262,053.98x = 59,785,174,892.81
  5. Step 5: Solve for x
    x = 59,785,174,892.81/262,053.98
  6. Step 6: Final answer
    x = 228,140.69

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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.