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Finding the Fourth Proportional to 190,965, 286,510.68 and 102,198.72

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Solution

The fourth proportional to 190,965, 286,510.68 and 102,198.72 is: 153,331.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,965 : 286,510.68 = 102,198.72 : x
  2. Step 2: Convert to fraction form
    190,965/286,510.68 = 102,198.72/x
  3. Step 3: Cross multiply
    190,965x = 286,510.68 × 102,198.72
  4. Step 4: Simplify right side
    190,965x = 29,281,024,762.33
  5. Step 5: Solve for x
    x = 29,281,024,762.33/190,965
  6. Step 6: Final answer
    x = 153,331.89

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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.