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Finding the Fourth Proportional to 233,130, 349,756.44 and 83,385.12

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Solution

The fourth proportional to 233,130, 349,756.44 and 83,385.12 is: 125,099.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,130 : 349,756.44 = 83,385.12 : x
  2. Step 2: Convert to fraction form
    233,130/349,756.44 = 83,385.12/x
  3. Step 3: Cross multiply
    233,130x = 349,756.44 × 83,385.12
  4. Step 4: Simplify right side
    233,130x = 29,164,482,720.17
  5. Step 5: Solve for x
    x = 29,164,482,720.17/233,130
  6. Step 6: Final answer
    x = 125,099.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.