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Finding the Fourth Proportional to 130,549, 180,158.72 and 70,933

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Solution

The fourth proportional to 130,549, 180,158.72 and 70,933 is: 97,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,549 : 180,158.72 = 70,933 : x
  2. Step 2: Convert to fraction form
    130,549/180,158.72 = 70,933/x
  3. Step 3: Cross multiply
    130,549x = 180,158.72 × 70,933
  4. Step 4: Simplify right side
    130,549x = 12,779,198,485.76
  5. Step 5: Solve for x
    x = 12,779,198,485.76/130,549
  6. Step 6: Final answer
    x = 97,888.14

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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.