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Finding the Fourth Proportional to 153,235.40, 229,853.10 and 42,427.40

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Solution

The fourth proportional to 153,235.40, 229,853.10 and 42,427.40 is: 63,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,235.40 : 229,853.10 = 42,427.40 : x
  2. Step 2: Convert to fraction form
    153,235.40/229,853.10 = 42,427.40/x
  3. Step 3: Cross multiply
    153,235.40x = 229,853.10 × 42,427.40
  4. Step 4: Simplify right side
    153,235.40x = 9,752,069,414.94
  5. Step 5: Solve for x
    x = 9,752,069,414.94/153,235.40
  6. Step 6: Final answer
    x = 63,641.10

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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.