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Finding the Fourth Proportional to 166,413.10, 249,619.65 and 148,698.40

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Solution

The fourth proportional to 166,413.10, 249,619.65 and 148,698.40 is: 223,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,413.10 : 249,619.65 = 148,698.40 : x
  2. Step 2: Convert to fraction form
    166,413.10/249,619.65 = 148,698.40/x
  3. Step 3: Cross multiply
    166,413.10x = 249,619.65 × 148,698.40
  4. Step 4: Simplify right side
    166,413.10x = 37,118,042,563.56
  5. Step 5: Solve for x
    x = 37,118,042,563.56/166,413.10
  6. Step 6: Final answer
    x = 223,047.60

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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.