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Finding the Fourth Proportional to 214,392.70, 295,842.54 and 118,899.10

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Solution

The fourth proportional to 214,392.70, 295,842.54 and 118,899.10 is: 164,070.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,392.70 : 295,842.54 = 118,899.10 : x
  2. Step 2: Convert to fraction form
    214,392.70/295,842.54 = 118,899.10/x
  3. Step 3: Cross multiply
    214,392.70x = 295,842.54 × 118,899.10
  4. Step 4: Simplify right side
    214,392.70x = 35,175,411,747.71
  5. Step 5: Solve for x
    x = 35,175,411,747.71/214,392.70
  6. Step 6: Final answer
    x = 164,070.01

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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.