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Finding the Fourth Proportional to 260,280.75, 359,205.74 and 145,570.07

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Solution

The fourth proportional to 260,280.75, 359,205.74 and 145,570.07 is: 200,896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,280.75 : 359,205.74 = 145,570.07 : x
  2. Step 2: Convert to fraction form
    260,280.75/359,205.74 = 145,570.07/x
  3. Step 3: Cross multiply
    260,280.75x = 359,205.74 × 145,570.07
  4. Step 4: Simplify right side
    260,280.75x = 52,289,602,920.17
  5. Step 5: Solve for x
    x = 52,289,602,920.17/260,280.75
  6. Step 6: Final answer
    x = 200,896.93

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1.5x scale

Why These Related Problems?

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