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Finding the Fourth Proportional to 153,235.60, 229,853.40 and 142,176.40

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Solution

The fourth proportional to 153,235.60, 229,853.40 and 142,176.40 is: 213,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,235.60 : 229,853.40 = 142,176.40 : x
  2. Step 2: Convert to fraction form
    153,235.60/229,853.40 = 142,176.40/x
  3. Step 3: Cross multiply
    153,235.60x = 229,853.40 × 142,176.40
  4. Step 4: Simplify right side
    153,235.60x = 32,679,728,939.76
  5. Step 5: Solve for x
    x = 32,679,728,939.76/153,235.60
  6. Step 6: Final answer
    x = 213,264.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.