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Finding the Fourth Proportional to 152,807.51, 229,159.35 and 52,944.40

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Solution

The fourth proportional to 152,807.51, 229,159.35 and 52,944.40 is: 79,398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,807.51 : 229,159.35 = 52,944.40 : x
  2. Step 2: Convert to fraction form
    152,807.51/229,159.35 = 52,944.40/x
  3. Step 3: Cross multiply
    152,807.51x = 229,159.35 × 52,944.40
  4. Step 4: Simplify right side
    152,807.51x = 12,132,704,290.14
  5. Step 5: Solve for x
    x = 12,132,704,290.14/152,807.51
  6. Step 6: Final answer
    x = 79,398.61

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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.