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Finding the Fourth Proportional to 189,855.36, 284,802.40 and 65,180.16

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Solution

The fourth proportional to 189,855.36, 284,802.40 and 65,180.16 is: 97,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,855.36 : 284,802.40 = 65,180.16 : x
  2. Step 2: Convert to fraction form
    189,855.36/284,802.40 = 65,180.16/x
  3. Step 3: Cross multiply
    189,855.36x = 284,802.40 × 65,180.16
  4. Step 4: Simplify right side
    189,855.36x = 18,563,466,000.38
  5. Step 5: Solve for x
    x = 18,563,466,000.38/189,855.36
  6. Step 6: Final answer
    x = 97,776.89

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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.