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Finding the Fourth Proportional to 233,557.84, 322,312.26 and 132,962.32

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Solution

The fourth proportional to 233,557.84, 322,312.26 and 132,962.32 is: 183,489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,557.84 : 322,312.26 = 132,962.32 : x
  2. Step 2: Convert to fraction form
    233,557.84/322,312.26 = 132,962.32/x
  3. Step 3: Cross multiply
    233,557.84x = 322,312.26 × 132,962.32
  4. Step 4: Simplify right side
    233,557.84x = 42,855,385,854.04
  5. Step 5: Solve for x
    x = 42,855,385,854.04/233,557.84
  6. Step 6: Final answer
    x = 183,489.39

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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.