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Finding the Fourth Proportional to 102,111.02, 153,114.69 and 46,659.50

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Solution

The fourth proportional to 102,111.02, 153,114.69 and 46,659.50 is: 69,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,111.02 : 153,114.69 = 46,659.50 : x
  2. Step 2: Convert to fraction form
    102,111.02/153,114.69 = 46,659.50/x
  3. Step 3: Cross multiply
    102,111.02x = 153,114.69 × 46,659.50
  4. Step 4: Simplify right side
    102,111.02x = 7,144,254,878.06
  5. Step 5: Solve for x
    x = 7,144,254,878.06/102,111.02
  6. Step 6: Final answer
    x = 69,965.56

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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.