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Finding the Fourth Proportional to 259,494.39, 358,094.14 and 152,135.93

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Solution

The fourth proportional to 259,494.39, 358,094.14 and 152,135.93 is: 209,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,494.39 : 358,094.14 = 152,135.93 : x
  2. Step 2: Convert to fraction form
    259,494.39/358,094.14 = 152,135.93/x
  3. Step 3: Cross multiply
    259,494.39x = 358,094.14 × 152,135.93
  4. Step 4: Simplify right side
    259,494.39x = 54,478,985,016.45
  5. Step 5: Solve for x
    x = 54,478,985,016.45/259,494.39
  6. Step 6: Final answer
    x = 209,942.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.