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Finding the Fourth Proportional to 210,173, 315,259.50 and 62,429

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Solution

The fourth proportional to 210,173, 315,259.50 and 62,429 is: 93,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,173 : 315,259.50 = 62,429 : x
  2. Step 2: Convert to fraction form
    210,173/315,259.50 = 62,429/x
  3. Step 3: Cross multiply
    210,173x = 315,259.50 × 62,429
  4. Step 4: Simplify right side
    210,173x = 19,681,335,325.50
  5. Step 5: Solve for x
    x = 19,681,335,325.50/210,173
  6. Step 6: Final answer
    x = 93,643.50

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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.