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Finding the Fourth Proportional to 201,430.80, 277,952.70 and 116,532

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Solution

The fourth proportional to 201,430.80, 277,952.70 and 116,532 is: 160,801.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,430.80 : 277,952.70 = 116,532 : x
  2. Step 2: Convert to fraction form
    201,430.80/277,952.70 = 116,532/x
  3. Step 3: Cross multiply
    201,430.80x = 277,952.70 × 116,532
  4. Step 4: Simplify right side
    201,430.80x = 32,390,384,036.40
  5. Step 5: Solve for x
    x = 32,390,384,036.40/201,430.80
  6. Step 6: Final answer
    x = 160,801.55

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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.