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Finding the Fourth Proportional to 130,894.56, 196,160.19 and 59,643.08

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Solution

The fourth proportional to 130,894.56, 196,160.19 and 59,643.08 is: 89,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,894.56 : 196,160.19 = 59,643.08 : x
  2. Step 2: Convert to fraction form
    130,894.56/196,160.19 = 59,643.08/x
  3. Step 3: Cross multiply
    130,894.56x = 196,160.19 × 59,643.08
  4. Step 4: Simplify right side
    130,894.56x = 11,699,596,924.18
  5. Step 5: Solve for x
    x = 11,699,596,924.18/130,894.56
  6. Step 6: Final answer
    x = 89,381.84

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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.