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Finding the Fourth Proportional to 130,509, 195,763.50 and 56,637

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Solution

The fourth proportional to 130,509, 195,763.50 and 56,637 is: 84,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,509 : 195,763.50 = 56,637 : x
  2. Step 2: Convert to fraction form
    130,509/195,763.50 = 56,637/x
  3. Step 3: Cross multiply
    130,509x = 195,763.50 × 56,637
  4. Step 4: Simplify right side
    130,509x = 11,087,457,349.50
  5. Step 5: Solve for x
    x = 11,087,457,349.50/130,509
  6. Step 6: Final answer
    x = 84,955.50

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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.