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Finding the Fourth Proportional to 144,483, 199,386.54 and 94,182

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Solution

The fourth proportional to 144,483, 199,386.54 and 94,182 is: 129,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,483 : 199,386.54 = 94,182 : x
  2. Step 2: Convert to fraction form
    144,483/199,386.54 = 94,182/x
  3. Step 3: Cross multiply
    144,483x = 199,386.54 × 94,182
  4. Step 4: Simplify right side
    144,483x = 18,778,623,110.28
  5. Step 5: Solve for x
    x = 18,778,623,110.28/144,483
  6. Step 6: Final answer
    x = 129,971.16

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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.