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Finding the Fourth Proportional to 130,311, 195,477.48 and 41,577.12

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Solution

The fourth proportional to 130,311, 195,477.48 and 41,577.12 is: 62,369.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,311 : 195,477.48 = 41,577.12 : x
  2. Step 2: Convert to fraction form
    130,311/195,477.48 = 41,577.12/x
  3. Step 3: Cross multiply
    130,311x = 195,477.48 × 41,577.12
  4. Step 4: Simplify right side
    130,311x = 8,127,390,643.26
  5. Step 5: Solve for x
    x = 8,127,390,643.26/130,311
  6. Step 6: Final answer
    x = 62,369.18

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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.