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Finding the Fourth Proportional to 152,290.51, 228,451.06 and 52,437.49

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Solution

The fourth proportional to 152,290.51, 228,451.06 and 52,437.49 is: 78,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,290.51 : 228,451.06 = 52,437.49 : x
  2. Step 2: Convert to fraction form
    152,290.51/228,451.06 = 52,437.49/x
  3. Step 3: Cross multiply
    152,290.51x = 228,451.06 × 52,437.49
  4. Step 4: Simplify right side
    152,290.51x = 11,979,399,734.21
  5. Step 5: Solve for x
    x = 11,979,399,734.21/152,290.51
  6. Step 6: Final answer
    x = 78,661.50

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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.