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Finding the Fourth Proportional to 255,551.50, 352,646.40 and 146,632.78

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Solution

The fourth proportional to 255,551.50, 352,646.40 and 146,632.78 is: 202,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,551.50 : 352,646.40 = 146,632.78 : x
  2. Step 2: Convert to fraction form
    255,551.50/352,646.40 = 146,632.78/x
  3. Step 3: Cross multiply
    255,551.50x = 352,646.40 × 146,632.78
  4. Step 4: Simplify right side
    255,551.50x = 51,709,521,988.99
  5. Step 5: Solve for x
    x = 51,709,521,988.99/255,551.50
  6. Step 6: Final answer
    x = 202,344.82

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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.