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Finding the Fourth Proportional to 340,106.40, 510,168 and 162,632.16

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Solution

The fourth proportional to 340,106.40, 510,168 and 162,632.16 is: 243,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,106.40 : 510,168 = 162,632.16 : x
  2. Step 2: Convert to fraction form
    340,106.40/510,168 = 162,632.16/x
  3. Step 3: Cross multiply
    340,106.40x = 510,168 × 162,632.16
  4. Step 4: Simplify right side
    340,106.40x = 82,969,723,802.88
  5. Step 5: Solve for x
    x = 82,969,723,802.88/340,106.40
  6. Step 6: Final answer
    x = 243,952.26

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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.