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Finding the Fourth Proportional to 233,893.47, 322,699.30 and 143,154.84

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Solution

The fourth proportional to 233,893.47, 322,699.30 and 143,154.84 is: 197,508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,893.47 : 322,699.30 = 143,154.84 : x
  2. Step 2: Convert to fraction form
    233,893.47/322,699.30 = 143,154.84/x
  3. Step 3: Cross multiply
    233,893.47x = 322,699.30 × 143,154.84
  4. Step 4: Simplify right side
    233,893.47x = 46,195,965,795.63
  5. Step 5: Solve for x
    x = 46,195,965,795.63/233,893.47
  6. Step 6: Final answer
    x = 197,508.58

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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.