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Finding the Fourth Proportional to 152,468.80, 228,962.40 and 113,070.40

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Solution

The fourth proportional to 152,468.80, 228,962.40 and 113,070.40 is: 169,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,468.80 : 228,962.40 = 113,070.40 : x
  2. Step 2: Convert to fraction form
    152,468.80/228,962.40 = 113,070.40/x
  3. Step 3: Cross multiply
    152,468.80x = 228,962.40 × 113,070.40
  4. Step 4: Simplify right side
    152,468.80x = 25,888,870,152.96
  5. Step 5: Solve for x
    x = 25,888,870,152.96/152,468.80
  6. Step 6: Final answer
    x = 169,797.82

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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.