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Finding the Fourth Proportional to 233,677.49, 322,497.70 and 138,214.94

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Solution

The fourth proportional to 233,677.49, 322,497.70 and 138,214.94 is: 190,750.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,677.49 : 322,497.70 = 138,214.94 : x
  2. Step 2: Convert to fraction form
    233,677.49/322,497.70 = 138,214.94/x
  3. Step 3: Cross multiply
    233,677.49x = 322,497.70 × 138,214.94
  4. Step 4: Simplify right side
    233,677.49x = 44,574,000,716.34
  5. Step 5: Solve for x
    x = 44,574,000,716.34/233,677.49
  6. Step 6: Final answer
    x = 190,750.08

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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.