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Finding the Fourth Proportional to 314,903.93, 472,341.54 and 101,681.69

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Solution

The fourth proportional to 314,903.93, 472,341.54 and 101,681.69 is: 152,517.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,903.93 : 472,341.54 = 101,681.69 : x
  2. Step 2: Convert to fraction form
    314,903.93/472,341.54 = 101,681.69/x
  3. Step 3: Cross multiply
    314,903.93x = 472,341.54 × 101,681.69
  4. Step 4: Simplify right side
    314,903.93x = 48,028,483,682.69
  5. Step 5: Solve for x
    x = 48,028,483,682.69/314,903.93
  6. Step 6: Final answer
    x = 152,517.89

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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.