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Finding the Fourth Proportional to 233,753.16, 322,367.58 and 153,151.32

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Solution

The fourth proportional to 233,753.16, 322,367.58 and 153,151.32 is: 211,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,753.16 : 322,367.58 = 153,151.32 : x
  2. Step 2: Convert to fraction form
    233,753.16/322,367.58 = 153,151.32/x
  3. Step 3: Cross multiply
    233,753.16x = 322,367.58 × 153,151.32
  4. Step 4: Simplify right side
    233,753.16x = 49,371,020,402.21
  5. Step 5: Solve for x
    x = 49,371,020,402.21/233,753.16
  6. Step 6: Final answer
    x = 211,210.07

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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.