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Finding the Fourth Proportional to 103,415.40, 142,728.70 and 63,152.50

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Solution

The fourth proportional to 103,415.40, 142,728.70 and 63,152.50 is: 87,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,415.40 : 142,728.70 = 63,152.50 : x
  2. Step 2: Convert to fraction form
    103,415.40/142,728.70 = 63,152.50/x
  3. Step 3: Cross multiply
    103,415.40x = 142,728.70 × 63,152.50
  4. Step 4: Simplify right side
    103,415.40x = 9,013,674,226.75
  5. Step 5: Solve for x
    x = 9,013,674,226.75/103,415.40
  6. Step 6: Final answer
    x = 87,159.88

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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.