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Finding the Fourth Proportional to 166,326.40, 249,465.30 and 47,985.40

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Solution

The fourth proportional to 166,326.40, 249,465.30 and 47,985.40 is: 71,971.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,326.40 : 249,465.30 = 47,985.40 : x
  2. Step 2: Convert to fraction form
    166,326.40/249,465.30 = 47,985.40/x
  3. Step 3: Cross multiply
    166,326.40x = 249,465.30 × 47,985.40
  4. Step 4: Simplify right side
    166,326.40x = 11,970,692,206.62
  5. Step 5: Solve for x
    x = 11,970,692,206.62/166,326.40
  6. Step 6: Final answer
    x = 71,971.09

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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.