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Finding the Fourth Proportional to 164,907.84, 247,358.88 and 152,065.92

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Solution

The fourth proportional to 164,907.84, 247,358.88 and 152,065.92 is: 228,096.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,907.84 : 247,358.88 = 152,065.92 : x
  2. Step 2: Convert to fraction form
    164,907.84/247,358.88 = 152,065.92/x
  3. Step 3: Cross multiply
    164,907.84x = 247,358.88 × 152,065.92
  4. Step 4: Simplify right side
    164,907.84x = 37,614,855,657.37
  5. Step 5: Solve for x
    x = 37,614,855,657.37/164,907.84
  6. Step 6: Final answer
    x = 228,096.22

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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.