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Finding the Fourth Proportional to 105,774.86, 158,703.78 and 46,569

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Solution

The fourth proportional to 105,774.86, 158,703.78 and 46,569 is: 69,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,774.86 : 158,703.78 = 46,569 : x
  2. Step 2: Convert to fraction form
    105,774.86/158,703.78 = 46,569/x
  3. Step 3: Cross multiply
    105,774.86x = 158,703.78 × 46,569
  4. Step 4: Simplify right side
    105,774.86x = 7,390,676,330.82
  5. Step 5: Solve for x
    x = 7,390,676,330.82/105,774.86
  6. Step 6: Final answer
    x = 69,871.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.