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Finding the Fourth Proportional to 237,409.68, 355,868.40 and 148,459

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Solution

The fourth proportional to 237,409.68, 355,868.40 and 148,459 is: 222,534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,409.68 : 355,868.40 = 148,459 : x
  2. Step 2: Convert to fraction form
    237,409.68/355,868.40 = 148,459/x
  3. Step 3: Cross multiply
    237,409.68x = 355,868.40 × 148,459
  4. Step 4: Simplify right side
    237,409.68x = 52,831,866,795.60
  5. Step 5: Solve for x
    x = 52,831,866,795.60/237,409.68
  6. Step 6: Final answer
    x = 222,534.59

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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.