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Finding the Fourth Proportional to 205,407.30, 307,592.55 and 163,935.30

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Solution

The fourth proportional to 205,407.30, 307,592.55 and 163,935.30 is: 245,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,407.30 : 307,592.55 = 163,935.30 : x
  2. Step 2: Convert to fraction form
    205,407.30/307,592.55 = 163,935.30/x
  3. Step 3: Cross multiply
    205,407.30x = 307,592.55 × 163,935.30
  4. Step 4: Simplify right side
    205,407.30x = 50,425,276,962.02
  5. Step 5: Solve for x
    x = 50,425,276,962.02/205,407.30
  6. Step 6: Final answer
    x = 245,489.22

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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.