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Finding the Fourth Proportional to 97,473.40, 146,210.10 and 96,551.80

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Solution

The fourth proportional to 97,473.40, 146,210.10 and 96,551.80 is: 144,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,473.40 : 146,210.10 = 96,551.80 : x
  2. Step 2: Convert to fraction form
    97,473.40/146,210.10 = 96,551.80/x
  3. Step 3: Cross multiply
    97,473.40x = 146,210.10 × 96,551.80
  4. Step 4: Simplify right side
    97,473.40x = 14,116,848,333.18
  5. Step 5: Solve for x
    x = 14,116,848,333.18/97,473.40
  6. Step 6: Final answer
    x = 144,827.70

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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.