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Finding the Fourth Proportional to 153,149.32, 229,723.98 and 69,985

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Solution

The fourth proportional to 153,149.32, 229,723.98 and 69,985 is: 104,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,149.32 : 229,723.98 = 69,985 : x
  2. Step 2: Convert to fraction form
    153,149.32/229,723.98 = 69,985/x
  3. Step 3: Cross multiply
    153,149.32x = 229,723.98 × 69,985
  4. Step 4: Simplify right side
    153,149.32x = 16,077,232,740.30
  5. Step 5: Solve for x
    x = 16,077,232,740.30/153,149.32
  6. Step 6: Final answer
    x = 104,977.50

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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.