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Finding the Fourth Proportional to 316,741.64, 475,181.64 and 106,374.08

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Solution

The fourth proportional to 316,741.64, 475,181.64 and 106,374.08 is: 159,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,741.64 : 475,181.64 = 106,374.08 : x
  2. Step 2: Convert to fraction form
    316,741.64/475,181.64 = 106,374.08/x
  3. Step 3: Cross multiply
    316,741.64x = 475,181.64 × 106,374.08
  4. Step 4: Simplify right side
    316,741.64x = 50,547,009,787.89
  5. Step 5: Solve for x
    x = 50,547,009,787.89/316,741.64
  6. Step 6: Final answer
    x = 159,584.35

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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.