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Finding the Fourth Proportional to 101,681.61, 152,509.46 and 26,802.38

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Solution

The fourth proportional to 101,681.61, 152,509.46 and 26,802.38 is: 40,200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,681.61 : 152,509.46 = 26,802.38 : x
  2. Step 2: Convert to fraction form
    101,681.61/152,509.46 = 26,802.38/x
  3. Step 3: Cross multiply
    101,681.61x = 152,509.46 × 26,802.38
  4. Step 4: Simplify right side
    101,681.61x = 4,087,615,603.96
  5. Step 5: Solve for x
    x = 4,087,615,603.96/101,681.61
  6. Step 6: Final answer
    x = 40,200.15

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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.