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Finding the Fourth Proportional to 102,302.25, 141,064.23 and 70,042.15

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Solution

The fourth proportional to 102,302.25, 141,064.23 and 70,042.15 is: 96,580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,302.25 : 141,064.23 = 70,042.15 : x
  2. Step 2: Convert to fraction form
    102,302.25/141,064.23 = 70,042.15/x
  3. Step 3: Cross multiply
    102,302.25x = 141,064.23 × 70,042.15
  4. Step 4: Simplify right side
    102,302.25x = 9,880,441,957.29
  5. Step 5: Solve for x
    x = 9,880,441,957.29/102,302.25
  6. Step 6: Final answer
    x = 96,580.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.