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Finding the Fourth Proportional to 176,075.80, 263,768.10 and 105,746.20

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Solution

The fourth proportional to 176,075.80, 263,768.10 and 105,746.20 is: 158,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,075.80 : 263,768.10 = 105,746.20 : x
  2. Step 2: Convert to fraction form
    176,075.80/263,768.10 = 105,746.20/x
  3. Step 3: Cross multiply
    176,075.80x = 263,768.10 × 105,746.20
  4. Step 4: Simplify right side
    176,075.80x = 27,892,474,256.22
  5. Step 5: Solve for x
    x = 27,892,474,256.22/176,075.80
  6. Step 6: Final answer
    x = 158,411.74

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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.