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Finding the Fourth Proportional to 156,672, 235,085.67 and 61,970.14

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Solution

The fourth proportional to 156,672, 235,085.67 and 61,970.14 is: 92,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,672 : 235,085.67 = 61,970.14 : x
  2. Step 2: Convert to fraction form
    156,672/235,085.67 = 61,970.14/x
  3. Step 3: Cross multiply
    156,672x = 235,085.67 × 61,970.14
  4. Step 4: Simplify right side
    156,672x = 14,568,291,881.89
  5. Step 5: Solve for x
    x = 14,568,291,881.89/156,672
  6. Step 6: Final answer
    x = 92,985.93

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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.