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Finding the Fourth Proportional to 130,356.55, 195,538.47 and 46,104.81

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Solution

The fourth proportional to 130,356.55, 195,538.47 and 46,104.81 is: 69,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,356.55 : 195,538.47 = 46,104.81 : x
  2. Step 2: Convert to fraction form
    130,356.55/195,538.47 = 46,104.81/x
  3. Step 3: Cross multiply
    130,356.55x = 195,538.47 × 46,104.81
  4. Step 4: Simplify right side
    130,356.55x = 9,015,264,007.04
  5. Step 5: Solve for x
    x = 9,015,264,007.04/130,356.55
  6. Step 6: Final answer
    x = 69,158.50

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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.