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Finding the Fourth Proportional to 97,875.84, 145,494 and 95,002.32

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Solution

The fourth proportional to 97,875.84, 145,494 and 95,002.32 is: 141,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,875.84 : 145,494 = 95,002.32 : x
  2. Step 2: Convert to fraction form
    97,875.84/145,494 = 95,002.32/x
  3. Step 3: Cross multiply
    97,875.84x = 145,494 × 95,002.32
  4. Step 4: Simplify right side
    97,875.84x = 13,822,267,546.08
  5. Step 5: Solve for x
    x = 13,822,267,546.08/97,875.84
  6. Step 6: Final answer
    x = 141,222.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.