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Finding the Fourth Proportional to 190,312, 262,630.56 and 114,860.48

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Solution

The fourth proportional to 190,312, 262,630.56 and 114,860.48 is: 158,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,312 : 262,630.56 = 114,860.48 : x
  2. Step 2: Convert to fraction form
    190,312/262,630.56 = 114,860.48/x
  3. Step 3: Cross multiply
    190,312x = 262,630.56 × 114,860.48
  4. Step 4: Simplify right side
    190,312x = 30,165,872,184.27
  5. Step 5: Solve for x
    x = 30,165,872,184.27/190,312
  6. Step 6: Final answer
    x = 158,507.46

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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.