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Finding the Fourth Proportional to 103,154.95, 154,733 and 46,955.76

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Solution

The fourth proportional to 103,154.95, 154,733 and 46,955.76 is: 70,433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,154.95 : 154,733 = 46,955.76 : x
  2. Step 2: Convert to fraction form
    103,154.95/154,733 = 46,955.76/x
  3. Step 3: Cross multiply
    103,154.95x = 154,733 × 46,955.76
  4. Step 4: Simplify right side
    103,154.95x = 7,265,605,612.08
  5. Step 5: Solve for x
    x = 7,265,605,612.08/103,154.95
  6. Step 6: Final answer
    x = 70,433.90

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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.