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Finding the Fourth Proportional to 103,457.16, 142,787.52 and 96,703.50

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Solution

The fourth proportional to 103,457.16, 142,787.52 and 96,703.50 is: 133,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,457.16 : 142,787.52 = 96,703.50 : x
  2. Step 2: Convert to fraction form
    103,457.16/142,787.52 = 96,703.50/x
  3. Step 3: Cross multiply
    103,457.16x = 142,787.52 × 96,703.50
  4. Step 4: Simplify right side
    103,457.16x = 13,808,052,940.32
  5. Step 5: Solve for x
    x = 13,808,052,940.32/103,457.16
  6. Step 6: Final answer
    x = 133,466.38

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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.