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Finding the Fourth Proportional to 201,360.50, 301,383.56 and 148,038.38

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Solution

The fourth proportional to 201,360.50, 301,383.56 and 148,038.38 is: 221,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,360.50 : 301,383.56 = 148,038.38 : x
  2. Step 2: Convert to fraction form
    201,360.50/301,383.56 = 148,038.38/x
  3. Step 3: Cross multiply
    201,360.50x = 301,383.56 × 148,038.38
  4. Step 4: Simplify right side
    201,360.50x = 44,616,333,240.84
  5. Step 5: Solve for x
    x = 44,616,333,240.84/201,360.50
  6. Step 6: Final answer
    x = 221,574.41

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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.