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Finding the Fourth Proportional to 334,075.86, 501,133.47 and 109,459.86

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Solution

The fourth proportional to 334,075.86, 501,133.47 and 109,459.86 is: 164,196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,075.86 : 501,133.47 = 109,459.86 : x
  2. Step 2: Convert to fraction form
    334,075.86/501,133.47 = 109,459.86/x
  3. Step 3: Cross multiply
    334,075.86x = 501,133.47 × 109,459.86
  4. Step 4: Simplify right side
    334,075.86x = 54,853,999,467.51
  5. Step 5: Solve for x
    x = 54,853,999,467.51/334,075.86
  6. Step 6: Final answer
    x = 164,196.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.