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Finding the Fourth Proportional to 135,210.64, 202,820.10 and 46,462.88

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Solution

The fourth proportional to 135,210.64, 202,820.10 and 46,462.88 is: 69,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,210.64 : 202,820.10 = 46,462.88 : x
  2. Step 2: Convert to fraction form
    135,210.64/202,820.10 = 46,462.88/x
  3. Step 3: Cross multiply
    135,210.64x = 202,820.10 × 46,462.88
  4. Step 4: Simplify right side
    135,210.64x = 9,423,605,967.89
  5. Step 5: Solve for x
    x = 9,423,605,967.89/135,210.64
  6. Step 6: Final answer
    x = 69,695.74

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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.