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Finding the Fourth Proportional to 178,094.30, 245,765.75 and 97,525.22

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Solution

The fourth proportional to 178,094.30, 245,765.75 and 97,525.22 is: 134,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,094.30 : 245,765.75 = 97,525.22 : x
  2. Step 2: Convert to fraction form
    178,094.30/245,765.75 = 97,525.22/x
  3. Step 3: Cross multiply
    178,094.30x = 245,765.75 × 97,525.22
  4. Step 4: Simplify right side
    178,094.30x = 23,968,357,120.76
  5. Step 5: Solve for x
    x = 23,968,357,120.76/178,094.30
  6. Step 6: Final answer
    x = 134,582.40

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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.