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Finding the Fourth Proportional to 205,009.60, 307,514.40 and 92,646.40

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Solution

The fourth proportional to 205,009.60, 307,514.40 and 92,646.40 is: 138,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,009.60 : 307,514.40 = 92,646.40 : x
  2. Step 2: Convert to fraction form
    205,009.60/307,514.40 = 92,646.40/x
  3. Step 3: Cross multiply
    205,009.60x = 307,514.40 × 92,646.40
  4. Step 4: Simplify right side
    205,009.60x = 28,490,102,108.16
  5. Step 5: Solve for x
    x = 28,490,102,108.16/205,009.60
  6. Step 6: Final answer
    x = 138,969.60

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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.