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Finding the Fourth Proportional to 109,654.60, 164,547.52 and 100,731.64

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Solution

The fourth proportional to 109,654.60, 164,547.52 and 100,731.64 is: 151,157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,654.60 : 164,547.52 = 100,731.64 : x
  2. Step 2: Convert to fraction form
    109,654.60/164,547.52 = 100,731.64/x
  3. Step 3: Cross multiply
    109,654.60x = 164,547.52 × 100,731.64
  4. Step 4: Simplify right side
    109,654.60x = 16,575,141,547.53
  5. Step 5: Solve for x
    x = 16,575,141,547.53/109,654.60
  6. Step 6: Final answer
    x = 151,157.74

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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.