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Finding the Fourth Proportional to 191,970.34, 287,955.54 and 98,416.42

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Solution

The fourth proportional to 191,970.34, 287,955.54 and 98,416.42 is: 147,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,970.34 : 287,955.54 = 98,416.42 : x
  2. Step 2: Convert to fraction form
    191,970.34/287,955.54 = 98,416.42/x
  3. Step 3: Cross multiply
    191,970.34x = 287,955.54 × 98,416.42
  4. Step 4: Simplify right side
    191,970.34x = 28,339,553,365.97
  5. Step 5: Solve for x
    x = 28,339,553,365.97/191,970.34
  6. Step 6: Final answer
    x = 147,624.65

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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.