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Finding the Fourth Proportional to 102,114.02, 153,119.19 and 46,662.50

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Solution

The fourth proportional to 102,114.02, 153,119.19 and 46,662.50 is: 69,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,114.02 : 153,119.19 = 46,662.50 : x
  2. Step 2: Convert to fraction form
    102,114.02/153,119.19 = 46,662.50/x
  3. Step 3: Cross multiply
    102,114.02x = 153,119.19 × 46,662.50
  4. Step 4: Simplify right side
    102,114.02x = 7,144,924,203.38
  5. Step 5: Solve for x
    x = 7,144,924,203.38/102,114.02
  6. Step 6: Final answer
    x = 69,970.06

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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.