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Finding the Fourth Proportional to 105,098.10, 145,038.45 and 57,354.52

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Solution

The fourth proportional to 105,098.10, 145,038.45 and 57,354.52 is: 79,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,098.10 : 145,038.45 = 57,354.52 : x
  2. Step 2: Convert to fraction form
    105,098.10/145,038.45 = 57,354.52/x
  3. Step 3: Cross multiply
    105,098.10x = 145,038.45 × 57,354.52
  4. Step 4: Simplify right side
    105,098.10x = 8,318,610,681.29
  5. Step 5: Solve for x
    x = 8,318,610,681.29/105,098.10
  6. Step 6: Final answer
    x = 79,150.91

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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.