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Finding the Fourth Proportional to 182,130, 251,498.01 and 114,263.64

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Solution

The fourth proportional to 182,130, 251,498.01 and 114,263.64 is: 157,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,130 : 251,498.01 = 114,263.64 : x
  2. Step 2: Convert to fraction form
    182,130/251,498.01 = 114,263.64/x
  3. Step 3: Cross multiply
    182,130x = 251,498.01 × 114,263.64
  4. Step 4: Simplify right side
    182,130x = 28,737,078,075.36
  5. Step 5: Solve for x
    x = 28,737,078,075.36/182,130
  6. Step 6: Final answer
    x = 157,783.33

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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.