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Finding the Fourth Proportional to 186,013.13, 256,699.94 and 101,132.01

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Solution

The fourth proportional to 186,013.13, 256,699.94 and 101,132.01 is: 139,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,013.13 : 256,699.94 = 101,132.01 : x
  2. Step 2: Convert to fraction form
    186,013.13/256,699.94 = 101,132.01/x
  3. Step 3: Cross multiply
    186,013.13x = 256,699.94 × 101,132.01
  4. Step 4: Simplify right side
    186,013.13x = 25,960,580,393.42
  5. Step 5: Solve for x
    x = 25,960,580,393.42/186,013.13
  6. Step 6: Final answer
    x = 139,563.16

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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.