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Finding the Fourth Proportional to 214,287.66, 295,720.98 and 117,485.10

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Solution

The fourth proportional to 214,287.66, 295,720.98 and 117,485.10 is: 162,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,287.66 : 295,720.98 = 117,485.10 : x
  2. Step 2: Convert to fraction form
    214,287.66/295,720.98 = 117,485.10/x
  3. Step 3: Cross multiply
    214,287.66x = 295,720.98 × 117,485.10
  4. Step 4: Simplify right side
    214,287.66x = 34,742,808,907.40
  5. Step 5: Solve for x
    x = 34,742,808,907.40/214,287.66
  6. Step 6: Final answer
    x = 162,131.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.