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Finding the Fourth Proportional to 102,647.30, 153,970.95 and 97,835.90

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Solution

The fourth proportional to 102,647.30, 153,970.95 and 97,835.90 is: 146,753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,647.30 : 153,970.95 = 97,835.90 : x
  2. Step 2: Convert to fraction form
    102,647.30/153,970.95 = 97,835.90/x
  3. Step 3: Cross multiply
    102,647.30x = 153,970.95 × 97,835.90
  4. Step 4: Simplify right side
    102,647.30x = 15,063,886,467.11
  5. Step 5: Solve for x
    x = 15,063,886,467.11/102,647.30
  6. Step 6: Final answer
    x = 146,753.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.