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Finding the Fourth Proportional to 121,835.51, 182,794.76 and 65,681.05

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Solution

The fourth proportional to 121,835.51, 182,794.76 and 65,681.05 is: 98,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,835.51 : 182,794.76 = 65,681.05 : x
  2. Step 2: Convert to fraction form
    121,835.51/182,794.76 = 65,681.05/x
  3. Step 3: Cross multiply
    121,835.51x = 182,794.76 × 65,681.05
  4. Step 4: Simplify right side
    121,835.51x = 12,006,151,478.51
  5. Step 5: Solve for x
    x = 12,006,151,478.51/121,835.51
  6. Step 6: Final answer
    x = 98,543.94

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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.