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Finding the Fourth Proportional to 130,032, 179,444.16 and 70,416

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Solution

The fourth proportional to 130,032, 179,444.16 and 70,416 is: 97,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,032 : 179,444.16 = 70,416 : x
  2. Step 2: Convert to fraction form
    130,032/179,444.16 = 70,416/x
  3. Step 3: Cross multiply
    130,032x = 179,444.16 × 70,416
  4. Step 4: Simplify right side
    130,032x = 12,635,739,970.56
  5. Step 5: Solve for x
    x = 12,635,739,970.56/130,032
  6. Step 6: Final answer
    x = 97,174.08

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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.