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Finding the Fourth Proportional to 113,506.84, 170,237.01 and 42,416.35

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Solution

The fourth proportional to 113,506.84, 170,237.01 and 42,416.35 is: 63,615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,506.84 : 170,237.01 = 42,416.35 : x
  2. Step 2: Convert to fraction form
    113,506.84/170,237.01 = 42,416.35/x
  3. Step 3: Cross multiply
    113,506.84x = 170,237.01 × 42,416.35
  4. Step 4: Simplify right side
    113,506.84x = 7,220,832,599.11
  5. Step 5: Solve for x
    x = 7,220,832,599.11/113,506.84
  6. Step 6: Final answer
    x = 63,615.84

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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.