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Finding the Fourth Proportional to 130,014.35, 182,413.75 and 130,014.35

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Solution

The fourth proportional to 130,014.35, 182,413.75 and 130,014.35 is: 182,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,014.35 : 182,413.75 = 130,014.35 : x
  2. Step 2: Convert to fraction form
    130,014.35/182,413.75 = 130,014.35/x
  3. Step 3: Cross multiply
    130,014.35x = 182,413.75 × 130,014.35
  4. Step 4: Simplify right side
    130,014.35x = 23,716,405,137.31
  5. Step 5: Solve for x
    x = 23,716,405,137.31/130,014.35
  6. Step 6: Final answer
    x = 182,413.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.