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Finding the Fourth Proportional to 163,465, 245,197.50 and 52,657

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Solution

The fourth proportional to 163,465, 245,197.50 and 52,657 is: 78,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,465 : 245,197.50 = 52,657 : x
  2. Step 2: Convert to fraction form
    163,465/245,197.50 = 52,657/x
  3. Step 3: Cross multiply
    163,465x = 245,197.50 × 52,657
  4. Step 4: Simplify right side
    163,465x = 12,911,364,757.50
  5. Step 5: Solve for x
    x = 12,911,364,757.50/163,465
  6. Step 6: Final answer
    x = 78,985.50

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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.