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Finding the Fourth Proportional to 178,155.61, 245,858.28 and 97,583.14

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Solution

The fourth proportional to 178,155.61, 245,858.28 and 97,583.14 is: 134,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,155.61 : 245,858.28 = 97,583.14 : x
  2. Step 2: Convert to fraction form
    178,155.61/245,858.28 = 97,583.14/x
  3. Step 3: Cross multiply
    178,155.61x = 245,858.28 × 97,583.14
  4. Step 4: Simplify right side
    178,155.61x = 23,991,622,957.40
  5. Step 5: Solve for x
    x = 23,991,622,957.40/178,155.61
  6. Step 6: Final answer
    x = 134,666.67

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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.