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Finding the Fourth Proportional to 85,782.89, 128,394.88 and 77,598.65

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Solution

The fourth proportional to 85,782.89, 128,394.88 and 77,598.65 is: 116,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,782.89 : 128,394.88 = 77,598.65 : x
  2. Step 2: Convert to fraction form
    85,782.89/128,394.88 = 77,598.65/x
  3. Step 3: Cross multiply
    85,782.89x = 128,394.88 × 77,598.65
  4. Step 4: Simplify right side
    85,782.89x = 9,963,269,354.91
  5. Step 5: Solve for x
    x = 9,963,269,354.91/85,782.89
  6. Step 6: Final answer
    x = 116,145.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.