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Finding the Fourth Proportional to 152,196, 210,031.20 and 85,128

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Solution

The fourth proportional to 152,196, 210,031.20 and 85,128 is: 117,477.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,196 : 210,031.20 = 85,128 : x
  2. Step 2: Convert to fraction form
    152,196/210,031.20 = 85,128/x
  3. Step 3: Cross multiply
    152,196x = 210,031.20 × 85,128
  4. Step 4: Simplify right side
    152,196x = 17,879,535,993.60
  5. Step 5: Solve for x
    x = 17,879,535,993.60/152,196
  6. Step 6: Final answer
    x = 117,477.04

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