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Finding the Fourth Proportional to 159,312.68, 219,774.63 and 98,953.50

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Solution

The fourth proportional to 159,312.68, 219,774.63 and 98,953.50 is: 136,508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,312.68 : 219,774.63 = 98,953.50 : x
  2. Step 2: Convert to fraction form
    159,312.68/219,774.63 = 98,953.50/x
  3. Step 3: Cross multiply
    159,312.68x = 219,774.63 × 98,953.50
  4. Step 4: Simplify right side
    159,312.68x = 21,747,468,849.71
  5. Step 5: Solve for x
    x = 21,747,468,849.71/159,312.68
  6. Step 6: Final answer
    x = 136,508.08

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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.