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Finding the Fourth Proportional to 214,068.50, 295,421.19 and 118,584.08

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Solution

The fourth proportional to 214,068.50, 295,421.19 and 118,584.08 is: 163,649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,068.50 : 295,421.19 = 118,584.08 : x
  2. Step 2: Convert to fraction form
    214,068.50/295,421.19 = 118,584.08/x
  3. Step 3: Cross multiply
    214,068.50x = 295,421.19 × 118,584.08
  4. Step 4: Simplify right side
    214,068.50x = 35,032,248,551.55
  5. Step 5: Solve for x
    x = 35,032,248,551.55/214,068.50
  6. Step 6: Final answer
    x = 163,649.72

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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.