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Finding the Fourth Proportional to 102,349, 141,242.53 and 59,908.44

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Solution

The fourth proportional to 102,349, 141,242.53 and 59,908.44 is: 82,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,349 : 141,242.53 = 59,908.44 : x
  2. Step 2: Convert to fraction form
    102,349/141,242.53 = 59,908.44/x
  3. Step 3: Cross multiply
    102,349x = 141,242.53 × 59,908.44
  4. Step 4: Simplify right side
    102,349x = 8,461,619,633.95
  5. Step 5: Solve for x
    x = 8,461,619,633.95/102,349
  6. Step 6: Final answer
    x = 82,674.18

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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.