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Finding the Fourth Proportional to 193,135.40, 289,703.10 and 162,031.40

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Solution

The fourth proportional to 193,135.40, 289,703.10 and 162,031.40 is: 243,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,135.40 : 289,703.10 = 162,031.40 : x
  2. Step 2: Convert to fraction form
    193,135.40/289,703.10 = 162,031.40/x
  3. Step 3: Cross multiply
    193,135.40x = 289,703.10 × 162,031.40
  4. Step 4: Simplify right side
    193,135.40x = 46,940,998,877.34
  5. Step 5: Solve for x
    x = 46,940,998,877.34/193,135.40
  6. Step 6: Final answer
    x = 243,047.10

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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.