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Finding the Fourth Proportional to 233,560.16, 322,210.64 and 142,920.48

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Solution

The fourth proportional to 233,560.16, 322,210.64 and 142,920.48 is: 197,167.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,560.16 : 322,210.64 = 142,920.48 : x
  2. Step 2: Convert to fraction form
    233,560.16/322,210.64 = 142,920.48/x
  3. Step 3: Cross multiply
    233,560.16x = 322,210.64 × 142,920.48
  4. Step 4: Simplify right side
    233,560.16x = 46,050,499,329.91
  5. Step 5: Solve for x
    x = 46,050,499,329.91/233,560.16
  6. Step 6: Final answer
    x = 197,167.61

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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.