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Finding the Fourth Proportional to 153,704, 212,114.76 and 86,636

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Solution

The fourth proportional to 153,704, 212,114.76 and 86,636 is: 119,559.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,704 : 212,114.76 = 86,636 : x
  2. Step 2: Convert to fraction form
    153,704/212,114.76 = 86,636/x
  3. Step 3: Cross multiply
    153,704x = 212,114.76 × 86,636
  4. Step 4: Simplify right side
    153,704x = 18,376,774,347.36
  5. Step 5: Solve for x
    x = 18,376,774,347.36/153,704
  6. Step 6: Final answer
    x = 119,559.51

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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.