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Finding the Fourth Proportional to 137,313.40, 205,566.90 and 102,407.80

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Solution

The fourth proportional to 137,313.40, 205,566.90 and 102,407.80 is: 153,311.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,313.40 : 205,566.90 = 102,407.80 : x
  2. Step 2: Convert to fraction form
    137,313.40/205,566.90 = 102,407.80/x
  3. Step 3: Cross multiply
    137,313.40x = 205,566.90 × 102,407.80
  4. Step 4: Simplify right side
    137,313.40x = 21,051,653,981.82
  5. Step 5: Solve for x
    x = 21,051,653,981.82/137,313.40
  6. Step 6: Final answer
    x = 153,311.00

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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.