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Finding the Fourth Proportional to 266,830.64, 368,246.24 and 152,112

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Solution

The fourth proportional to 266,830.64, 368,246.24 and 152,112 is: 209,925.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,830.64 : 368,246.24 = 152,112 : x
  2. Step 2: Convert to fraction form
    266,830.64/368,246.24 = 152,112/x
  3. Step 3: Cross multiply
    266,830.64x = 368,246.24 × 152,112
  4. Step 4: Simplify right side
    266,830.64x = 56,014,672,058.88
  5. Step 5: Solve for x
    x = 56,014,672,058.88/266,830.64
  6. Step 6: Final answer
    x = 209,925.94

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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.