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Finding the Fourth Proportional to 194,019.40, 291,029.10 and 180,897.40

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Solution

The fourth proportional to 194,019.40, 291,029.10 and 180,897.40 is: 271,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,019.40 : 291,029.10 = 180,897.40 : x
  2. Step 2: Convert to fraction form
    194,019.40/291,029.10 = 180,897.40/x
  3. Step 3: Cross multiply
    194,019.40x = 291,029.10 × 180,897.40
  4. Step 4: Simplify right side
    194,019.40x = 52,646,407,514.34
  5. Step 5: Solve for x
    x = 52,646,407,514.34/194,019.40
  6. Step 6: Final answer
    x = 271,346.10

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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.