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Finding the Fourth Proportional to 210,897.68, 291,038.82 and 115,405.16

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Solution

The fourth proportional to 210,897.68, 291,038.82 and 115,405.16 is: 159,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,897.68 : 291,038.82 = 115,405.16 : x
  2. Step 2: Convert to fraction form
    210,897.68/291,038.82 = 115,405.16/x
  3. Step 3: Cross multiply
    210,897.68x = 291,038.82 × 115,405.16
  4. Step 4: Simplify right side
    210,897.68x = 33,587,381,588.31
  5. Step 5: Solve for x
    x = 33,587,381,588.31/210,897.68
  6. Step 6: Final answer
    x = 159,259.13

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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.