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Finding the Fourth Proportional to 201,420.30, 277,938.23 and 116,521.50

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Solution

The fourth proportional to 201,420.30, 277,938.23 and 116,521.50 is: 160,787.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,420.30 : 277,938.23 = 116,521.50 : x
  2. Step 2: Convert to fraction form
    201,420.30/277,938.23 = 116,521.50/x
  3. Step 3: Cross multiply
    201,420.30x = 277,938.23 × 116,521.50
  4. Step 4: Simplify right side
    201,420.30x = 32,385,778,884.34
  5. Step 5: Solve for x
    x = 32,385,778,884.34/201,420.30
  6. Step 6: Final answer
    x = 160,787.07

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1.5x scale

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.