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Finding the Fourth Proportional to 191,852.35, 287,804.76 and 65,458.66

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Solution

The fourth proportional to 191,852.35, 287,804.76 and 65,458.66 is: 98,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,852.35 : 287,804.76 = 65,458.66 : x
  2. Step 2: Convert to fraction form
    191,852.35/287,804.76 = 65,458.66/x
  3. Step 3: Cross multiply
    191,852.35x = 287,804.76 × 65,458.66
  4. Step 4: Simplify right side
    191,852.35x = 18,839,313,931.22
  5. Step 5: Solve for x
    x = 18,839,313,931.22/191,852.35
  6. Step 6: Final answer
    x = 98,196.94

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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.