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Finding the Fourth Proportional to 133,780.41, 200,457.18 and 70,597.98

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Solution

The fourth proportional to 133,780.41, 200,457.18 and 70,597.98 is: 105,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,780.41 : 200,457.18 = 70,597.98 : x
  2. Step 2: Convert to fraction form
    133,780.41/200,457.18 = 70,597.98/x
  3. Step 3: Cross multiply
    133,780.41x = 200,457.18 × 70,597.98
  4. Step 4: Simplify right side
    133,780.41x = 14,151,871,984.50
  5. Step 5: Solve for x
    x = 14,151,871,984.50/133,780.41
  6. Step 6: Final answer
    x = 105,784.34

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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.