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Finding the Fourth Proportional to 145,943.67, 201,402.18 and 78,875.67

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Solution

The fourth proportional to 145,943.67, 201,402.18 and 78,875.67 is: 108,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,943.67 : 201,402.18 = 78,875.67 : x
  2. Step 2: Convert to fraction form
    145,943.67/201,402.18 = 78,875.67/x
  3. Step 3: Cross multiply
    145,943.67x = 201,402.18 × 78,875.67
  4. Step 4: Simplify right side
    145,943.67x = 15,885,731,886.96
  5. Step 5: Solve for x
    x = 15,885,731,886.96/145,943.67
  6. Step 6: Final answer
    x = 108,848.38

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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.