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Finding the Fourth Proportional to 145,413.96, 217,898.46 and 97,852.92

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Solution

The fourth proportional to 145,413.96, 217,898.46 and 97,852.92 is: 146,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,413.96 : 217,898.46 = 97,852.92 : x
  2. Step 2: Convert to fraction form
    145,413.96/217,898.46 = 97,852.92/x
  3. Step 3: Cross multiply
    145,413.96x = 217,898.46 × 97,852.92
  4. Step 4: Simplify right side
    145,413.96x = 21,322,000,574.50
  5. Step 5: Solve for x
    x = 21,322,000,574.50/145,413.96
  6. Step 6: Final answer
    x = 146,629.67

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1.5x scale

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.