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Finding the Fourth Proportional to 261,752.16, 392,744.88 and 137,064

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Solution

The fourth proportional to 261,752.16, 392,744.88 and 137,064 is: 205,657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,752.16 : 392,744.88 = 137,064 : x
  2. Step 2: Convert to fraction form
    261,752.16/392,744.88 = 137,064/x
  3. Step 3: Cross multiply
    261,752.16x = 392,744.88 × 137,064
  4. Step 4: Simplify right side
    261,752.16x = 53,831,184,232.32
  5. Step 5: Solve for x
    x = 53,831,184,232.32/261,752.16
  6. Step 6: Final answer
    x = 205,657.08

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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.