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Finding the Fourth Proportional to 176,203.40, 263,765.10 and 97,075.40

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Solution

The fourth proportional to 176,203.40, 263,765.10 and 97,075.40 is: 145,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,203.40 : 263,765.10 = 97,075.40 : x
  2. Step 2: Convert to fraction form
    176,203.40/263,765.10 = 97,075.40/x
  3. Step 3: Cross multiply
    176,203.40x = 263,765.10 × 97,075.40
  4. Step 4: Simplify right side
    176,203.40x = 25,605,102,588.54
  5. Step 5: Solve for x
    x = 25,605,102,588.54/176,203.40
  6. Step 6: Final answer
    x = 145,315.60

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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.