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Finding the Fourth Proportional to 233,605.02, 322,446.22 and 146,437.32

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Solution

The fourth proportional to 233,605.02, 322,446.22 and 146,437.32 is: 202,128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,605.02 : 322,446.22 = 146,437.32 : x
  2. Step 2: Convert to fraction form
    233,605.02/322,446.22 = 146,437.32/x
  3. Step 3: Cross multiply
    233,605.02x = 322,446.22 × 146,437.32
  4. Step 4: Simplify right side
    233,605.02x = 47,218,160,300.93
  5. Step 5: Solve for x
    x = 47,218,160,300.93/233,605.02
  6. Step 6: Final answer
    x = 202,128.19

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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.