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Finding the Fourth Proportional to 205,302.30, 307,953.45 and 94,494.30

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Solution

The fourth proportional to 205,302.30, 307,953.45 and 94,494.30 is: 141,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,302.30 : 307,953.45 = 94,494.30 : x
  2. Step 2: Convert to fraction form
    205,302.30/307,953.45 = 94,494.30/x
  3. Step 3: Cross multiply
    205,302.30x = 307,953.45 × 94,494.30
  4. Step 4: Simplify right side
    205,302.30x = 29,099,845,690.34
  5. Step 5: Solve for x
    x = 29,099,845,690.34/205,302.30
  6. Step 6: Final answer
    x = 141,741.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.