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Finding the Fourth Proportional to 139,178.40, 208,802.16 and 65,220

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Solution

The fourth proportional to 139,178.40, 208,802.16 and 65,220 is: 97,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,178.40 : 208,802.16 = 65,220 : x
  2. Step 2: Convert to fraction form
    139,178.40/208,802.16 = 65,220/x
  3. Step 3: Cross multiply
    139,178.40x = 208,802.16 × 65,220
  4. Step 4: Simplify right side
    139,178.40x = 13,618,076,875.20
  5. Step 5: Solve for x
    x = 13,618,076,875.20/139,178.40
  6. Step 6: Final answer
    x = 97,846.20

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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.