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Finding the Fourth Proportional to 214,071, 295,427.70 and 118,577.67

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Solution

The fourth proportional to 214,071, 295,427.70 and 118,577.67 is: 163,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,071 : 295,427.70 = 118,577.67 : x
  2. Step 2: Convert to fraction form
    214,071/295,427.70 = 118,577.67/x
  3. Step 3: Cross multiply
    214,071x = 295,427.70 × 118,577.67
  4. Step 4: Simplify right side
    214,071x = 35,031,128,319.46
  5. Step 5: Solve for x
    x = 35,031,128,319.46/214,071
  6. Step 6: Final answer
    x = 163,642.57

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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.