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Finding the Fourth Proportional to 265,146, 365,901.54 and 145,914

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Solution

The fourth proportional to 265,146, 365,901.54 and 145,914 is: 201,361.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,146 : 365,901.54 = 145,914 : x
  2. Step 2: Convert to fraction form
    265,146/365,901.54 = 145,914/x
  3. Step 3: Cross multiply
    265,146x = 365,901.54 × 145,914
  4. Step 4: Simplify right side
    265,146x = 53,390,157,307.56
  5. Step 5: Solve for x
    x = 53,390,157,307.56/265,146
  6. Step 6: Final answer
    x = 201,361.35

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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.