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Finding the Fourth Proportional to 264,709.30, 365,047.40 and 174,141.98

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Solution

The fourth proportional to 264,709.30, 365,047.40 and 174,141.98 is: 240,150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,709.30 : 365,047.40 = 174,141.98 : x
  2. Step 2: Convert to fraction form
    264,709.30/365,047.40 = 174,141.98/x
  3. Step 3: Cross multiply
    264,709.30x = 365,047.40 × 174,141.98
  4. Step 4: Simplify right side
    264,709.30x = 63,570,076,159.14
  5. Step 5: Solve for x
    x = 63,570,076,159.14/264,709.30
  6. Step 6: Final answer
    x = 240,150.52

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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.