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Finding the Fourth Proportional to 101,564.20, 152,360.46 and 42,386.32

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Solution

The fourth proportional to 101,564.20, 152,360.46 and 42,386.32 is: 63,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,564.20 : 152,360.46 = 42,386.32 : x
  2. Step 2: Convert to fraction form
    101,564.20/152,360.46 = 42,386.32/x
  3. Step 3: Cross multiply
    101,564.20x = 152,360.46 × 42,386.32
  4. Step 4: Simplify right side
    101,564.20x = 6,457,999,212.91
  5. Step 5: Solve for x
    x = 6,457,999,212.91/101,564.20
  6. Step 6: Final answer
    x = 63,585.39

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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.