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Finding the Fourth Proportional to 293,547.90, 405,097.72 and 166,248.30

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Solution

The fourth proportional to 293,547.90, 405,097.72 and 166,248.30 is: 229,423.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,547.90 : 405,097.72 = 166,248.30 : x
  2. Step 2: Convert to fraction form
    293,547.90/405,097.72 = 166,248.30/x
  3. Step 3: Cross multiply
    293,547.90x = 405,097.72 × 166,248.30
  4. Step 4: Simplify right side
    293,547.90x = 67,346,807,283.88
  5. Step 5: Solve for x
    x = 67,346,807,283.88/293,547.90
  6. Step 6: Final answer
    x = 229,423.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.