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Finding the Fourth Proportional to 130,564.90, 195,859.50 and 46,316.80

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Solution

The fourth proportional to 130,564.90, 195,859.50 and 46,316.80 is: 69,479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,564.90 : 195,859.50 = 46,316.80 : x
  2. Step 2: Convert to fraction form
    130,564.90/195,859.50 = 46,316.80/x
  3. Step 3: Cross multiply
    130,564.90x = 195,859.50 × 46,316.80
  4. Step 4: Simplify right side
    130,564.90x = 9,071,585,289.60
  5. Step 5: Solve for x
    x = 9,071,585,289.60/130,564.90
  6. Step 6: Final answer
    x = 69,479.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.