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Finding the Fourth Proportional to 338,154.78, 507,309.93 and 101,501.94

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Solution

The fourth proportional to 338,154.78, 507,309.93 and 101,501.94 is: 152,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,154.78 : 507,309.93 = 101,501.94 : x
  2. Step 2: Convert to fraction form
    338,154.78/507,309.93 = 101,501.94/x
  3. Step 3: Cross multiply
    338,154.78x = 507,309.93 × 101,501.94
  4. Step 4: Simplify right side
    338,154.78x = 51,492,942,076.26
  5. Step 5: Solve for x
    x = 51,492,942,076.26/338,154.78
  6. Step 6: Final answer
    x = 152,276.25

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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.