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Finding the Fourth Proportional to 178,100.83, 245,779.14 and 97,533.28

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Solution

The fourth proportional to 178,100.83, 245,779.14 and 97,533.28 is: 134,595.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,100.83 : 245,779.14 = 97,533.28 : x
  2. Step 2: Convert to fraction form
    178,100.83/245,779.14 = 97,533.28/x
  3. Step 3: Cross multiply
    178,100.83x = 245,779.14 × 97,533.28
  4. Step 4: Simplify right side
    178,100.83x = 23,971,645,679.78
  5. Step 5: Solve for x
    x = 23,971,645,679.78/178,100.83
  6. Step 6: Final answer
    x = 134,595.92

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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.