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Finding the Fourth Proportional to 147,756.70, 221,323.05 and 97,860.70

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Solution

The fourth proportional to 147,756.70, 221,323.05 and 97,860.70 is: 146,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,756.70 : 221,323.05 = 97,860.70 : x
  2. Step 2: Convert to fraction form
    147,756.70/221,323.05 = 97,860.70/x
  3. Step 3: Cross multiply
    147,756.70x = 221,323.05 × 97,860.70
  4. Step 4: Simplify right side
    147,756.70x = 21,658,828,599.14
  5. Step 5: Solve for x
    x = 21,658,828,599.14/147,756.70
  6. Step 6: Final answer
    x = 146,584.41

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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.