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Finding the Fourth Proportional to 182,509.16, 273,818.40 and 70,199.40

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Solution

The fourth proportional to 182,509.16, 273,818.40 and 70,199.40 is: 105,320.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,509.16 : 273,818.40 = 70,199.40 : x
  2. Step 2: Convert to fraction form
    182,509.16/273,818.40 = 70,199.40/x
  3. Step 3: Cross multiply
    182,509.16x = 273,818.40 × 70,199.40
  4. Step 4: Simplify right side
    182,509.16x = 19,221,887,388.96
  5. Step 5: Solve for x
    x = 19,221,887,388.96/182,509.16
  6. Step 6: Final answer
    x = 105,320.12

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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.