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Finding the Fourth Proportional to 178,085, 245,746.45 and 97,513.49

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Solution

The fourth proportional to 178,085, 245,746.45 and 97,513.49 is: 134,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,085 : 245,746.45 = 97,513.49 : x
  2. Step 2: Convert to fraction form
    178,085/245,746.45 = 97,513.49/x
  3. Step 3: Cross multiply
    178,085x = 245,746.45 × 97,513.49
  4. Step 4: Simplify right side
    178,085x = 23,963,593,994.61
  5. Step 5: Solve for x
    x = 23,963,593,994.61/178,085
  6. Step 6: Final answer
    x = 134,562.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.