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Finding the Fourth Proportional to 178,075.76, 245,744.58 and 97,508.24

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Solution

The fourth proportional to 178,075.76, 245,744.58 and 97,508.24 is: 134,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,075.76 : 245,744.58 = 97,508.24 : x
  2. Step 2: Convert to fraction form
    178,075.76/245,744.58 = 97,508.24/x
  3. Step 3: Cross multiply
    178,075.76x = 245,744.58 × 97,508.24
  4. Step 4: Simplify right side
    178,075.76x = 23,962,121,485.34
  5. Step 5: Solve for x
    x = 23,962,121,485.34/178,075.76
  6. Step 6: Final answer
    x = 134,561.39

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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.