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Finding the Fourth Proportional to 209,703.78, 289,394.51 and 114,210.39

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Solution

The fourth proportional to 209,703.78, 289,394.51 and 114,210.39 is: 157,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,703.78 : 289,394.51 = 114,210.39 : x
  2. Step 2: Convert to fraction form
    209,703.78/289,394.51 = 114,210.39/x
  3. Step 3: Cross multiply
    209,703.78x = 289,394.51 × 114,210.39
  4. Step 4: Simplify right side
    209,703.78x = 33,051,859,279.91
  5. Step 5: Solve for x
    x = 33,051,859,279.91/209,703.78
  6. Step 6: Final answer
    x = 157,612.13

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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.