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Finding the Fourth Proportional to 212,430.80, 293,154.42 and 116,937

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Solution

The fourth proportional to 212,430.80, 293,154.42 and 116,937 is: 161,373.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,430.80 : 293,154.42 = 116,937 : x
  2. Step 2: Convert to fraction form
    212,430.80/293,154.42 = 116,937/x
  3. Step 3: Cross multiply
    212,430.80x = 293,154.42 × 116,937
  4. Step 4: Simplify right side
    212,430.80x = 34,280,598,411.54
  5. Step 5: Solve for x
    x = 34,280,598,411.54/212,430.80
  6. Step 6: Final answer
    x = 161,373.01

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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.