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Finding the Fourth Proportional to 191,527, 287,290.50 and 60,199

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Solution

The fourth proportional to 191,527, 287,290.50 and 60,199 is: 90,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,527 : 287,290.50 = 60,199 : x
  2. Step 2: Convert to fraction form
    191,527/287,290.50 = 60,199/x
  3. Step 3: Cross multiply
    191,527x = 287,290.50 × 60,199
  4. Step 4: Simplify right side
    191,527x = 17,294,600,809.50
  5. Step 5: Solve for x
    x = 17,294,600,809.50/191,527
  6. Step 6: Final answer
    x = 90,298.50

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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.