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Finding the Fourth Proportional to 146,332.64, 201,954 and 105,530.48

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Solution

The fourth proportional to 146,332.64, 201,954 and 105,530.48 is: 145,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,332.64 : 201,954 = 105,530.48 : x
  2. Step 2: Convert to fraction form
    146,332.64/201,954 = 105,530.48/x
  3. Step 3: Cross multiply
    146,332.64x = 201,954 × 105,530.48
  4. Step 4: Simplify right side
    146,332.64x = 21,312,302,557.92
  5. Step 5: Solve for x
    x = 21,312,302,557.92/146,332.64
  6. Step 6: Final answer
    x = 145,642.85

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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.