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Finding the Fourth Proportional to 365,113.64, 547,722.27 and 112,415.13

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Solution

The fourth proportional to 365,113.64, 547,722.27 and 112,415.13 is: 168,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,113.64 : 547,722.27 = 112,415.13 : x
  2. Step 2: Convert to fraction form
    365,113.64/547,722.27 = 112,415.13/x
  3. Step 3: Cross multiply
    365,113.64x = 547,722.27 × 112,415.13
  4. Step 4: Simplify right side
    365,113.64x = 61,572,270,185.95
  5. Step 5: Solve for x
    x = 61,572,270,185.95/365,113.64
  6. Step 6: Final answer
    x = 168,638.65

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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.