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Finding the Fourth Proportional to 145,610.84, 201,004.95 and 97,891.86

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Solution

The fourth proportional to 145,610.84, 201,004.95 and 97,891.86 is: 135,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,610.84 : 201,004.95 = 97,891.86 : x
  2. Step 2: Convert to fraction form
    145,610.84/201,004.95 = 97,891.86/x
  3. Step 3: Cross multiply
    145,610.84x = 201,004.95 × 97,891.86
  4. Step 4: Simplify right side
    145,610.84x = 19,676,748,424.71
  5. Step 5: Solve for x
    x = 19,676,748,424.71/145,610.84
  6. Step 6: Final answer
    x = 135,132.45

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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.