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Finding the Fourth Proportional to 166,413.30, 249,656.40 and 54,074.40

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Solution

The fourth proportional to 166,413.30, 249,656.40 and 54,074.40 is: 81,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,413.30 : 249,656.40 = 54,074.40 : x
  2. Step 2: Convert to fraction form
    166,413.30/249,656.40 = 54,074.40/x
  3. Step 3: Cross multiply
    166,413.30x = 249,656.40 × 54,074.40
  4. Step 4: Simplify right side
    166,413.30x = 13,500,020,036.16
  5. Step 5: Solve for x
    x = 13,500,020,036.16/166,413.30
  6. Step 6: Final answer
    x = 81,123.44

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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.