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Finding the Fourth Proportional to 158,980.64, 238,507.84 and 46,656.32

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Solution

The fourth proportional to 158,980.64, 238,507.84 and 46,656.32 is: 69,995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,980.64 : 238,507.84 = 46,656.32 : x
  2. Step 2: Convert to fraction form
    158,980.64/238,507.84 = 46,656.32/x
  3. Step 3: Cross multiply
    158,980.64x = 238,507.84 × 46,656.32
  4. Step 4: Simplify right side
    158,980.64x = 11,127,898,105.55
  5. Step 5: Solve for x
    x = 11,127,898,105.55/158,980.64
  6. Step 6: Final answer
    x = 69,995.30

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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.