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Finding the Fourth Proportional to 153,720, 212,133.60 and 83,064

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Solution

The fourth proportional to 153,720, 212,133.60 and 83,064 is: 114,628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,720 : 212,133.60 = 83,064 : x
  2. Step 2: Convert to fraction form
    153,720/212,133.60 = 83,064/x
  3. Step 3: Cross multiply
    153,720x = 212,133.60 × 83,064
  4. Step 4: Simplify right side
    153,720x = 17,620,665,350.40
  5. Step 5: Solve for x
    x = 17,620,665,350.40/153,720
  6. Step 6: Final answer
    x = 114,628.32

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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.