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Finding the Fourth Proportional to 119,602.50, 178,466.73 and 107,036.16

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Solution

The fourth proportional to 119,602.50, 178,466.73 and 107,036.16 is: 159,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,602.50 : 178,466.73 = 107,036.16 : x
  2. Step 2: Convert to fraction form
    119,602.50/178,466.73 = 107,036.16/x
  3. Step 3: Cross multiply
    119,602.50x = 178,466.73 × 107,036.16
  4. Step 4: Simplify right side
    119,602.50x = 19,102,393,466.96
  5. Step 5: Solve for x
    x = 19,102,393,466.96/119,602.50
  6. Step 6: Final answer
    x = 159,715.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.